{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib.collections import PolyCollection\n",
    "from matplotlib import cm\n",
    "from matplotlib import colors as mcolors\n",
    "%matplotlib inline\n",
    "plt.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr = np.array([1e-4, 1e-5, 1e-6, 5e-7, 1e-7])\n",
    "lr = np.log(lr)\n",
    "score = [0.163, 0.46, 0.651, 0.645, 0.645]\n",
    "plt.title(\"learning rate of attention in init stage\")\n",
    "plt.xlabel(\"log(lr)\")\n",
    "plt.ylabel(\"OPE score\")\n",
    "plt.plot(lr, score, marker=\"x\")\n",
    "plt.savefig(\"lr_init.svg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "step = np.array([10, 15, 20, 25, 30, 35, 40, \n",
    "                 45, 46, 47, 48, 49, 50, 51,\n",
    "                 52, 53, 54, 60, 70, 80, 90,\n",
    "                 100, 110, 120, 150])\n",
    "score_1 = np.array([0.587, 0.598, 0.624, 0.628, 0.631, 0.642, 0.644,\n",
    "                  0.646, 0.644, 0.644, 0.653, 0.645, 0.654, 0.652,\n",
    "                  0.649, 0.644, 0.647, 0.639, 0.643, 0.643, 0.644,\n",
    "                  0.650, 0.643, 0.643, 0.645])\n",
    "plt.title(\"step between update, init lr=1e-6, update lr=1e-6\")\n",
    "plt.xlabel(\"step\")\n",
    "plt.ylabel(\"OPE score\")\n",
    "plt.plot(step, score_1, marker=\"x\")\n",
    "plt.savefig(\"step.svg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr = np.array([1e-5, 1e-6, 5e-7, 1e-7, 5e-8])\n",
    "lr = np.log(lr)\n",
    "score_2 = np.array([0.538, 0.654, 0.65, 0.649, 0.645])\n",
    "plt.title(\"update lr, init lr=1e-6, update step=50\")\n",
    "plt.xlabel(\"log(lr)\")\n",
    "plt.ylabel(\"OPE score\")\n",
    "plt.plot(lr, score_2, marker=\"x\")\n",
    "plt.savefig(\"update_lr.svg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cc(arg):\n",
    "    return mcolors.to_rgba(arg, alpha=0.6)\n",
    "def add_plot(ax, xs, ys, zs, color, zdir):\n",
    "    verts = []\n",
    "    for z in zs:\n",
    "        verts.append(list(zip(xs, ys)))\n",
    "    poly = PolyCollection(verts, facecolors=[cc(color)])\n",
    "    poly.set_alpha(0.6)\n",
    "    ax.add_collection3d(poly, zs=zs, zdir=zdir)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 9))\n",
    "ax = fig.gca(projection=\"3d\")\n",
    "\n",
    "min_score=0.53\n",
    "\n",
    "split = 12\n",
    "xs = list(step[:split+1])\n",
    "ys = list(score_1[:split+1])\n",
    "xs = xs[:1] + xs + xs[-1:]\n",
    "ys = [min_score] + ys + [min_score]\n",
    "zs = [math.log(1e-6)]\n",
    "add_plot(ax, xs, ys, zs, \"skyblue\", zdir=\"y\")\n",
    "\n",
    "split = 12\n",
    "xs = list(step[split:])\n",
    "ys = list(score_1[split:])\n",
    "xs = xs[:1] + xs + xs[-1:]\n",
    "ys = [min_score] + ys + [min_score]\n",
    "zs = [math.log(1e-6)]\n",
    "add_plot(ax, xs, ys, zs, \"deepskyblue\", zdir=\"y\")\n",
    "\n",
    "split=1\n",
    "xs = list(lr[:split+1])\n",
    "ys = list(score_2[:split+1])\n",
    "xs = xs[:1] + xs + xs[-1:]\n",
    "ys = [min_score] + ys + [min_score]\n",
    "zs = [50]\n",
    "add_plot(ax, xs, ys, zs, \"thistle\", zdir=\"x\")\n",
    "\n",
    "split=1\n",
    "xs = list(lr[split:])\n",
    "ys = list(score_2[split:])\n",
    "xs = xs[:1] + xs + xs[-1:]\n",
    "ys = [min_score] + ys + [min_score]\n",
    "zs = [50]\n",
    "add_plot(ax, xs, ys, zs, \"plum\", zdir=\"x\")\n",
    "\n",
    "ax.set_title(\"update step and lr overview\")\n",
    "ax.set_xlabel('step')\n",
    "ax.set_xlim3d(10, 150)\n",
    "ax.set_ylabel('log(lr)')\n",
    "ax.set_ylim3d(-17, -11)\n",
    "ax.set_zlabel('OPE score')\n",
    "ax.set_zlim3d(min_score, 0.66)\n",
    "\n",
    "ax.view_init(elev=50., azim=60)\n",
    "\n",
    "ax.plot([10]*lr.size, lr , score_2)\n",
    "ax.plot(step, ([-17]*step.size), score_1)\n",
    "\n",
    "fig.savefig(\"update_lr_overview.svg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "decay = np.array([0.9, 0.99, 0.999, 0.9999, 0.99999])\n",
    "score_1 = np.array([0.648, 0.657, 0.655, 0.653, 0.652])\n",
    "plt.title(\"decay of update lr, decay step=100\")\n",
    "plt.xlabel(\"decay\")\n",
    "plt.ylabel(\"OPE score\")\n",
    "plt.plot(decay, score_1, marker=\"x\")\n",
    "plt.savefig(\"decay.svg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "step = np.array([50, 100, 150, 200, 250, 300])\n",
    "score_2 = np.array([0.648, 0.657, 0.653, 0.655, 0.653, 0.653])\n",
    "plt.title(\"step between decay, decay=0.99\")\n",
    "plt.xlabel(\"step\")\n",
    "plt.ylabel(\"OPE score\")\n",
    "plt.plot(step, score_2, marker=\"x\")\n",
    "plt.savefig(\"step_decay.svg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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s2TJEo1HbW/nee+8hFovZj/H5fJBl2Z4exenq6sLChQtxxBFH4Nhjj8VRRx2FDz/8ELNmzYKqqjBNc9RrcTEXCoXQ09NTdF1vvvmmfV0Mw8Dbb7+Nr371q3kfGwqFMGXKFLz66qs45JBD7K+/+uqr2Hbbbe3z09nZiUMOOQT3338/+vr6EAqFMH/+fPj9foTDYey11154//33sd1229nHnEgkSj6XxxxzDK655hosXrwY77zzTtGc2jlz5iAajSKbzWKXXXYp+Lj58+fjRz/6EURRxAEHHGB/bfny5Xjrrbfwgx/8oOT1EQTR+pBnlSAmEH6/HyeccAKuuOIKPPnkk1i5ciUuu+wyrFy5ctTjzj//fNx666321uvKlSvxxBNP4LzzzgMABAIBnHzyybjqqqtw22234aOPPsJ7772H66+/HsDIVq7H48Htt9+ONWvW4IUXXsAPf/hDO6Kqo6MDhmEgFovhhBNOwLJly/DBBx/g+OOPL7r+GTNmQBAE3HjjjVizZg0ee+wx/OIXvyj7PCxcuBDBYBDf+c538O677+KNN97AySefDJ/PB0mSbAEbi8UgyzJ6e3sRDAbx85//HI888ghWrFiBVatW4cEHH0QgELC3x7fZZhu88847WL16NQYHB6HrOr7yla9g2223xZIlS/D8889j7dq1ePPNN3H99dfjiSeeGLWuG264AU8//TRWrFiBCy+8EP39/ViyZEnB4zj99NPx+9//HnfddRdWrVqFZcuWYdmyZaO66YGR7fpnn30Wd9xxB44++mgAwPDwMAYHB/Hf//3fWLlyJc4++2y8+eabWL16NV566SUsXboUa9asGfdcHn300YjH4zj77LMxa9asUU12uRxwwAH47Gc/i29/+9t4/PHHsWbNGvzjH//Arbfeirvuust+3Pz58zE8PIwnn3zSrqLOnz8fzz77LPr7+20BSxDExIAqqwQxwbjwwguRyWTwve99D8DINvF//ud/4s9//rP9mGOOOQbBYBC/+tWvcP3110OWZWy77bb44he/aD/mvPPOQ3d3N2655RZcdNFF6OjowLx58yAIArbaaivceOONuOyyy3D33Xdj5syZuPzyy/GVr3wFkiSN8pp+8YtfRDgcxuzZszF9+vSia99tt93w05/+FL/85S9x7bXXYs6cObjssstw3HHHlXUO/H4//vCHP9iNZlOnTsWll16KH/7wh1AUBfF4HJZlwTRNxONxJBIJ+Hw+dHZ24vLLL8eaNWsgiiJ222033HnnnbbX9ZRTTsG//vUvHHrooUilUvjjH/+I/fffH/fffz+uuOIKnHPOORgYGEB3dzf23HNPHHTQQaPWtXTpUlx55ZX44IMPMH36dNx6662YOnVqweM48cQTkU6ncf311+MHP/gBpk6digsvvBCLFy8e9biDDjoI4XAYH3zwwaiBBZZlYerUqXjooYdw1VVXYdGiRchkMpg8eTLmz59fUph/V1cXDj74YDzxxBP48Y9/XPSxgiDg97//Pa655hpcfPHF2LRpEyKRCHbbbTd85zvfsR83adIk7LTTTti8ebPtPd51110RDocRDofHeGcJgmhvhGKeqA0bNrRWUjZBEE0ld0Qqx+/3217I3CiqoaEhzJkzBzfeeCOOPPLIRi11FB6PB8FgEPF4fJSn1jCMMc1ekUgEsizbY1DzZdSWy8svv4xFixbh9ddfLypO643P54OiKPaAhkQigWw227T1EAQxsZg6dWreZgKqrBIEUTWiKMLr9cLj8Ywah6ooCgKBADKZjJ1xytF1HX19fbjqqqswefLkUVXbRiFJEgKBAEzThGEYJQlPwzCQyWRgGAYCgQDC4TCSyeS4sVetArdn8HMTDoeRSqWQSqVabtIXQRDtAYlVgiAqxjkm1dlhz8eAAiO+z3xRVK+99hqOPvpoTJ8+HTfccENJoztrSW611xljVQqGYSAajUIURfj9fvT29iKTySCZTBaN3nIzzqq4aZqIxWJ2M1xPTw+y2SySyeSYJjKCIIh6QjYAgiAqQpKkUQJTkiT4fD4YhgGv14tkMjkmTsoNOKu9zsEDkUgEw8PDox6bzwYQDAbt6mouPp8PgUAAhmEgkUjknb7lZng8Ve5YXY7X60UgEIBlWUgmkzWxQBAEQXDIBkAQRE1wVlOdiKIIVVVhWdYY0ecGBEFAIBCAIAgFq73Vkk6nkU6noaoqQqEQRFFsKd+nIAhFzwsX+Fzwt5sFgiAId0JilSCIksnXQMW3iSVJgmEYBatyzcTr9Ta02qtpGjRNs32foVDIzmttB9+nrusYHh627R7tYIEgCMK9kFglCGJccrf8OR6PBz6fD+l0GqlUCqFQqAmrK4wkSQgGg7a4qgXlTL9qRd9nOWLasizE43HE43H4fD50dXW1rAWCIAj3QmKVIIiCFNvyDwaDME1zVGZqJSNM6wVvoEokEiUJw3wirVbHwxhDMplEMpmE1+tFJBKxo6/c5Out5njzWSCSyWReby9BEEQ5kFglCCIvsixDFMcOuSuWmeoGsaqqKvx+v13tdRtO32cwGGw7UVfIAkHRVwRBVAqJVYIgRiGKImR57J+GYpmpboD7Jxljo6q9bkXXdQwNDUGSJPj9fleIOh5BVgta0QJBEIQ7IbFKEASA4lv+42WmNptGN1DVktyRrt3d3dB1vWT7gttxWiA8Hg8ikQgYYzWb/kUQRPtDYpUgiIINVG4XgbIsIxAI1LSBajzqVfVkjNmV1WaKunpWdbPZLLLZrH3dnNOxCIIgCkFilSAmMIIgQFGUMV9vhggsB2dcVjMqkPX25jpFXTAYbFieaaM8x+04/YsgiPpBYpUgJiiKokAUxVGVtGaLwFJwNlAlk8lmL6euGIYxJs+UN461g6jjiQjcAsGjr9xayScIojmQWCWICYZzy98pVJ2ZqW4UgTwuy7KslmigqiWNyjOtZYNVuTijr9oxJYEgiMohsUoQE4RCDVQ8Yig3M7US6iV0fD4fVFXNG5c10XCKunA4DABIJpMtM9J1PCj6iiCIXEisEsQEoJLMVDfAvbOaprkmLqucCVb1RNM0DA4O2lO6ajXS1S2C0Bl95UxJcOt7lSCI+kFilSDamEZnpnIhV63gEQQBgUAAoigiHo83xJ9ZztrdIFY5vCLOz1lPT0/FzUpuOi5ObkpCO1aTCYIoDolVgmhDmpWZWguxyr2zqVSKcjjLgMdcJRIJeL1edHZ2wjTNspuV3FJZzUdu9FWtqskEQbgbEqsE0Wa0amZqLb2zE51KR7q6sbKaj9zoq2qqyQRBuB8SqwTRJhTa8m9kZmqlfk7unXVrXFar4hzp2o7NSpVEX4XDYcRisQavlCCIaiCxShBtgKIoY0SiMzO1Ub7PcqmXd7ZSnBYGXpXk3fetTL5mJU3TkEwmx9wctKqI5ddpvGqyqqpNWiFBEJVCYpUgWphCW/7NykwttbJab+9sJXCRxhuVBEFAIpGAqqqjwvjdkgZQCflGulqWhWQyCU3TWva4nPBqMn+PhUKhUb8HrSrGCWIiQ2KVIFqQRmSmVkIpQs7N3llVVeH1eu3mLtM0kc1mEY/H4ff70dXVBcuy2iI6Kd9IV6B9xBwfpMAtAt3d3W1x3QhiIiIU+8O0YcOG9virRRBthJszU/1+P3RdzytCeR6orutIpVJNWF1hJElCR0eHvTXO/y6apjlmmzwUCsHn89kTpNolsUAURfT09IAx1lYjXZ34fD6Ew2E7r5WirwjCXUydOjVvtYMqqwTRIjQ6M7US8lVWnd5ZNzZQcZFvGMaYxqN8VWJd18EYQyaTQSAQQDgcRjKZbHlfq2VZME0Tg4ODdrNSu4Xw67qObDaLRCJB0VcE0UKQWCUIl9OszNRKyBWrqqrC7/c33DtbCrkiPxgMluXZdMYnBQKBUb5WN1yLSuANZtzX2m4jXfnx8WvnHKSQzWbzNpwRBNF8SKwShIsptOXvZt8nMCKkg8EgLMtyXWaqs4GqEpGfeyzcG+n0tbZLRZKPdG2XEP7cgRW5gxRyG84IgnAHJFYJwoW4ITO1EhhjUFUVPp+vYUKapVNgGz6GMGPncSujtZqOVeh18o0FbQdfa75KZCuG8BebruYcpNBO9g6CaAdIrBKEy2jVzFRZluH3+2GaZsOENNM0aL/4EayV/4S4466QF/0npF3mjHlco1MScseCtovwcVYiSw3hdxOljALmN4LtZO8giFaHxCpBuAQu9nJDzJ3VQLf5PoHRQjqVSuW1LdQDZlnQb/4FrJX/hHTY0TBfexHaT8+DOHsvKAtPhDhjZwAjHeCqqo67LV+P/NTcsaDtJHx4CL+qqmWNdG0mpYhVTjvbOwii1aDoKoJoMryBShRFhEIhexSksxro1vGYudvqiqJAUZSGRFPp990K4y/3QT72W1C+uAhMy8J4+s8w/nwvkIhBnnsAIktOg7XVtJIqmoFAANlsdpQQyZep6vF4oKoq4vF4Rev2+Xy2lcNtwqenpwf9/f0V/Sx/v3o8HteOdPX7/QBQ8fuTC3M+MKLVG84Iwm0Uiq4isUoQTSS3gaqjowPRaNQVmanF4A1UuUK6UWLVeO5x6L+/DtJBX4Jy4umjK6KZFIRn/oL0o/eApVOQ/uMgyEcfD3GrqUWfs1Fi1fk8PM3BLZ321YhVDq+0+/1+13XYBwIBWJZVtR2jFYQ5QbQilLNKEC6iUAOVKIqIRCKuyEwtRDEh3YhRpOY7b0C//XqIc+ZCOeG0Ua/n8Xjgi0SQOvobsA48HMZf/gjjqUdg/t/zkA48HMpRiyF09Vb1+rU6xlxfaygUahtfazKZRDKZdF2HfTk2gGKYpolYLGYLc4q+Ioj6QpVVgmgg42WmKoqCoaEhV1ZpeJd0NpstKKgkSYLP50MikajLGqyPVyH7P9+HMGkyPD/4BQTfyLZuoUovALDhAeiP3APzuccBUYD0+SOgHHEshHBk1HMHAgFomjaqUShfZZWPZOV2jVrBfa0+n69pvtZaVFbzwd87siw3VZCHQiFomlaXKrbX67Urt24Q5gTRipANgCCaTCmZqYFAwHWRVM5c0vGiiuopVtlgP7KXngXGAO/SayF09QAovYHK6tsE46G7YL70NODxQD78K5C/sBCCf2QrPt+o2EaKVSfN8rXWS6xy+E2Z1+ttiiAPh8PIZDJ1FZJuEeYE0YqQWCWIJjFeZqqmafYHWiQScZVYLTeXlIuRav2cubB0CtnL/xts8wZ4fngVxG1n5D1/pWBt+BjGA8tgvv4iEAhC/tLXIB9yFAKdXWPEKmNsTCRTI8Sq87WCwSCAxvha6y1WnXBfayMFeUdHB1KpVENitpzCvBUzaQmiGZBYJYgmMF5maiKRGPUBxhusmo0kSQgGg3aGZqnUQ6wy04R23UWw3vkb1LMvgbzHXAQCAYiiOOb8lYO1ZiX0P90O6+3XgY5O+BcugfS5L8DAp9er2WKVw4U5b16rVwNbI8Uqp5GNZpFIBIlEouFNi7xSbhhGU16fIFoFEqsE0UAkSYIkSWO+Pl6lMhwOIx6PN9WzyhuoEolE2c0igiCMit+qFsYY9Dt+BfOZP0P5z+8h8IWv1GQClRPzw/dg3H8brA/egdAzCfKXj4c0/2AIkpRXrCqKAp/P11CxynH6Wqup1jHG8MLqGGb1+jEpqNhfb4ZY5TRCkHd2diIWizWtCUpVVftGy+2ZtATRDEisEkQDKNRAVWpmKu8Ib8Z2Iffa8bGTlVLL6rD++J9g3HMzlC99DV3fPqtumbOMMSgr3kPqDzfDXPUBhClbQ/nGqRBn751XrPr9/qZXwKvxtT7/7yiufnkjtg6ruOr/bQevPOKlbqZY5XCPdLWCPB9dXV0YHh5u+nY8RV8RRH4KidXGjJohiAkAzxjNFap+vx/BYNCO8yn2odSI6Kdc+DACj8eDaDTqmmqP+fpyGPfcDHW/Bej61pn2BK96fKgLggBlj7kIXHYj1DN+DFgWtJt+VvPXqSXpdBr9/f1Ip9MIh8Po6uqCx+MZ9+cGUjp++8YnmBpSsD6m4Tevb2rAakuHj3Tt6+uDYRjo6upCJBKBoijj//A41Cq6qlp49BW/Mejp6UE4HM67G0MQBOWsEkTVFNryd1YqS63CNVqsOpMIatUCpQnOAAAgAElEQVR0Uov1Wyvfh/abK6DsPBuB03+AWI0btgohCAKkfebD2rwBxr23gKVTgFy9SKonmqZhcHBwVF5roW10xhhuem0TNJPhhwu2xgurY7j3nQHMnuTHwTtE8jx7c6n1SFe3iFWOM5PW4/EgEonYYp2irwjiU0isEkSFjJeZyhhDNBot68OxUWKVCxtd112VPgAArG8TtOsuhtTVA+V7S5ExG79lK0S6R9YyPAj0bNXw168EwzAQjUZtX2tvb++YbfRnVkXx+vokvrX3JGwd9uDY2T14b3Mav379E8zs9qGnp8kHUQBN06Bpmr197hTkbhKf1ZA7JCIcDte1mY4gWgmyARBEBciynHfL3+fz2VmOiUSi7A/SeotV7gf0+/1IJBKu+yBU9Cz0a34CWBbkcy4BC4Yb+vr83AudXKwOjHmM28WRZVl5t9GHswy/+9tm7NrrwxE7dwIAJFHAufOnwqeI+PmL65HS3N2lPhG2z/lNx+DgIERRRG9vL0KhUN6MZoKYKNC7nyDKQBRFqKo65oNDlmV0dHQAAIaHhyveUq+nWFVVFR0dHTAMo6kd0fkQRREhnxepq5fC/GQDlO8thTh564auwSlChUjXyD+GB/M+ttG+4krhvtZkMokbXvsEFgO+/7npEB3r7/LJOHf+VKyPabj6uVVNXG3p8O3zvr4+aJqGSCSCzs5OqKra7KXVjEI3HbXw7hJEq0E2AIIogUJb/rxSKYoi4vF41V3G9RCrfBSpZVll2xIagc/ng6IoGPjFUhj/fBvKqedD2nl2U9fEbQDeTAqB3l57EpHbzl2p/OX9Prz+8TBO3XcyZkzqGBMPtcfkAI7dvQf3vLMZMztEV/pXC8HTK7hHPBwOt93kqHK9u8FgsCnjegmiXpBYJYhxqDQztRIYYzXd7it1FGkzcE6gGrjtVzBeegrywhMh/8dBTV2XoigIRKZio8+P1MZ1SPf3IxAIoKenB5lMpu5TpGrNJwkNt/xtM+Zs5cfhO47EivGbLKev9bg5vfhwSLP9q9tGxk8WcBPcf8094729vUin03VLkGgGpXp3PR5PWcM8CMLtkA2AIAogCAIURRkjVCVJQjgchizLiEajNe3arVVl1WlLiEajDRWq4wkDQRAQDAbh9/sRj8cRf/JhGA/fBenAwyAfeVyDVpkfj8djT6cSIl1gw4NjopQ6OjqgqmreEbpuw2IM1786Ek11+n6T7e3/fPFQXZ0R/OTwneHf4l/NGK1ZlbMsC/F4HP39/bAsC93d3ejo6GiJ61UqTu8uY2zMMbot9YAgqoXEKkHkQVEUqKpaVWZqJVQrVnOFoNu2Qj0eDzo6OqBpGmKxGPR3/gb999dB3O0zUE78XtO8oLxKbpqmbecQIt1jGqzS6TSGhoZgGEZZ2abN4vEPh/HOJyl8a+9J2CqY38/pzGvdqsOPi/7fLq7MXy0XxhhSqRT6+/uRyWTsRiw3X69yyXeMXV1dLeOpJohSIbFKEA4kSbJFqlOIKoqCSCRi+z7r1ZxUjVjNFYLN8qvlOwZRFMdUo631a6DdcBmEyVtDPf1HEJpQ+XKuK5VKjbquQqQLGMqfBmBZFgYHBxGNRuH1etHT0wO/39/IpY/LxriG29/ajM9MCeDQHTrGfbyu69A0DTuGgCX7TMMzq2J4cV26LYRPNpvF8PAwDMNw7fWqlmw2i8HBQcRiMYiiaB9jO1w/giCxShAovOXf6OlOlYjVetoSaoHP57O9dbwazYYHoV39Y0BRoZ57KQR/oOnrykXo7AYbGshbPefXyDTNMTFDvAGmmViM4ZevbIQsCjh9v8klv6cYYzBNE1+eGcTuW/lx/UtrERN8bRGdJAiCfbPZzrFQhmHANE37GHt6etruGImJB717iQlPvTJTK6FcscptCfUcRVou/BgK+WZZNoPstT8Bi0XhOfsSiN2TGrq+Uv28QqQbMHQglRj3OZ0xQ6Zpoqurq6k+yUf/NYR/9qXxrb0nocdfWtSR831n56/KAi54+F3E01k7OqlVvZ/O3ZJCsVCtemxO+HFS9BXRTpBYJSYs9c5MrYRSxWquLcFNnf6MMXvwQK5vllkmtF//HGz1R1BPuxDi9jMbti7nQIR8ft4x535LfFWhrNVCcA+o00PYyPzPdbEs7ny7D3OnBfD5GeNv/xei0yfjnC35q9e9uBr9/f1IpVIIhULo7u5uOe9noaYjfr2cx+b1epuwwtogiuIYC5AzbzcYDLb8MRITj9a/jSSIMmlUZmo16yv2vWAwCABN9aUWwuPxQFVVpFKpvJYJ/Q83w3rzFSjHnwbpM/s1bF2qqsLv99tRRqUgdDoGA0ybXvZrOsdnBoPBivI/dcOCLAklV9tNa2T7X5UEnDZvStmWklwxN5K/2o173hnA7El+HLxDxI5OCgaDto2iFTJox+uQb5eRrtzukA9d1zE0NGTHe4VCobaL9yLaExKrxISikZmptcbr9cLr9SKZTDa02lsKfPCAaZrIZrN5K73Gkw/BfPIhSId9BfKhRzVsXYFAAIyxsgci8MEAbHgQTslX7oe6YRgV5X8yi2HdWgbBZ2KbiAjRI44rPh9+fxAf9Gdwzv5T0OUr7897oef+2uwevLc5PSp/lXt1+Q0ez6BNJpOuu4HilBrnxGOhBEGA3+9HT08Pstksksmkq6a+FUIUxXGPk8d7JRIJ+Hw+dHd3Q9d1V+YxEwRANgBigiAIAlRVbWhmaq2QJAkdHR0QRbHhtoRSyNeolCt8zDdfgX73byDutT+Uxd9uyLq8Xm9VnmPBtgGMTQSohHz5n4Xm2jPGEF9nwUwxrM2IiA4Z0AY1mFmz4HF8PJzFXf/ox37bBHHgduGK1pjvubl/leevpnVr1ONbxftZbvZooZGubvd85rMBFKJQ9FWrWTyI9ofEKtH28MzUXOqdmVoLAoEAgsEgEomEPRrTLRRsoMo5j9a/P4R2088gbDcT6qnnQRDHirNaUo24d4psQVWBQAiIjvWsVhMH5BQI2Ww271x7vc9CYogBAmBCwEpNhqEz6MM69CEdljZajBgWw7WvbIRfEfGdfUvv/i/1mJz+1V+/vqlk76ebRE81QfmZTAYDAwNIJBJ2Jdnn89V4hbWhmA2gGM7oK2e8F0VfEW7Afbe/BFEjnFv+zg8p7l/MZDKIRqPNWl5BGGMVeSwbxXjeXmejktX/CbLX/ARCOALP2RdD8NS3qcPv90NRFCQSibK3bPNGVHV2g5XZYFUO3NfK59qHQiFE10Ux8IkB51lNMQGrdQkzFBOWbkEb0iCqIuSgDFER8cB7A/hoMIPzDpiKiLc+f9ad/tXdt/LjkB0ieR9XyPvZbF9rLaY6tcJI13Iqq/kwDGOMxaOVbBBEe0JilWg7CjVQVeNfbBSiKNpTdty4xnK8vSyZgHb1UkDXoJ7/MwgdnXVbFxd7tb4B4SNX6w0XQUgDmbWAJsgQBQtwSNY+U0JIZJgkj3zN0ixogxoGTQuP/2sQB0wPYf70yrb/gdLEHPev/maLf3V6pHDl1On9dIOvtdKKYz4KeT4ruUmqNaIo1sR3yi0eiUQCXq/XTh9JJpOutEsR7Q3ZAIi2wk2ZqeXC12gYhqsqNUD+CVSFYIwBpgHthsvANq2DesaPIVbQTV8KPB3B6/UiFovVfGiDEOkuO7qqUliWIbtGx2DagGmOiA1ZViCJot3gtVqXkbQ+fW9bjOFf6xNYtHUHTpnVA2bW9z3j9K9ekeNfLUQhX2ujvZ+1qKzmkuv57OjoaHhUWS71OE6nDYI3nbnVBkG0JyRWibZAFEVEIhFXZaaWSu4aLctylU8s3wSqYliWhfTvroH1z79D+a+zIO26Z13W5RwvW7eosUgXEB0Es0Y3FdX6+jCDwfjYQEIX7FqqxSzohg7GGCRRgiSKYBCwQpPBNemqwQziWQuzJ/mhGgzZ/iz0uA5mVSZWShE5nT4Z547jXy2E09fa6LzPeog4J07Pp8/na5qgq9YGUAy+AzA4OAhZll0zsY1of8gGQLQ0zi1/nu/Jv+6GzNRi8GgcSZJGrZExBlEUm76dKMsyAoEANE0ra2s9++Cd0J57HPKXvwH5gENrvi5nTFYtrRL5RKgQ6QYsC0hEgXB9bAzMYjDXmshqQDrnbSpgpHpqMRMChJEtXohYbQjoMdP4aCiLKSEFk4KfVinNlAkzbUL2y5D8EgSxNGFdjgCfMzmA43bvwR/e6S/qXy1Erq+VT2Grp6+13mKVwz2foijC7/ejt7e3ofaHeopVDrdBxONx+P1+dHV1UfQVUVdIrBItSytnphZroKpH5a4cqhH6xivPQr/vVqgHHgbxK8fXfG0+nw+qqjbsQ1Ho2CLCYsN1EauMMZjrTZhphpgx9pqzUf9mMC0TAoABJmL1oAGPJGJWrz/PEwNG0oCRMiAHtojWGr+nFs3uxnubUyX5VwuRL9O0XsKulp7VUuDjTrmvtaurC4ZhIJFI1PW92yhRzuGDE1RVRTgchiAISCQSyGazDVsD0f5Q7Z5oOfiY1Fyhyhiz57G7NTOVez8VRUE0Gs37B72ZYtW5tV7uhCzzX+9A/93VkGbtgeCp59X0GArFZNUdZYsAq5N9xNpsgcUZEqaAUs80AzCU0jAkqJg5OYRQwJfXp80fbCQMZPuzMFJGURFTrsiRRAHnlOlfLYQz01TX9br4Whst4pw0MtarWcepaRoGBwcxPDwMj8eD3t5eBAIBV1maiNaFxCrRUiiKkjdwnG+nuzkztVTvZzM8q+U0UOXD2rgW2i8vhtA7Gf6zL4ag1KbBhFd5/X4/4vF4WaNKawIXS3UQq+agCWvAQpaN3f63yfM20AwLcc1EQJXQJ6hIpDOwLMsedZv3vWMBRtyANqDVtAmrGv9qITKZTF18rc0UqxxN0zA0NGQLunbMMuXV8v7+fgBAT09PweEXBFEqZAMgWoJCW/7OzFRd113pTVUUBX6/v2TvJ/esNopqt9ZZbBjaVUsBUYJ6ziVAIFiTD19+bZ2TsepJXs+qvEWsGvqox1WLFbdgbbJgAXm3/4ssEoNpA5IgIOKVkGECVmkyZsKAaZr2rgMw4p3M9T0zk4GZDIKU/zUrObZq/auFKJTXmkqlKlqnG8Qqp9VHupYCr5Ynk0mKviKqhsQq4WrKyUyVJKkhzQWlwquCgiCU5f1slA2g0gYqJ0zLInvtRWDDA/BceAXESVOqXhdvoLIsq/lZs7yyao4W8VVNsEqP+FQBjLv9n3vk0YwJw2LoDSh249SgJWKTKWKKbMGyLGSzWQiCAEVRoCgKDMMYdRNS6HxWc0y18K8Wola+VjeJVU4hQZdIJFyZXFIpmUwGmUzGzkMOh8NIJpON3ykhWhayARCupVhmaigUGpOZ2uzGJCfVxCrV+zh4Nmm1W+vMsqD99kqwVR9APfU8iDvsMvL1Ktbv9XrtCpor8nDl2toAmMZgrDUAC8W3//Pg3P73yKP/dH+sy0g48lcZY9A0zRauXq/X/l2qNNaqGLX0rxYi19fa2dlZlq/VLX8bCpE70rUS+4ObbtbzkS/6KhQKUfQVMS70DiFcB9/KLJaZGo1Gx1QeLMtq+h89SZKq8n4C9RWr1TRQ5WL88VZYry+HfNy3Ie1zgP31StYvSRI6OjogimJjG6iKIMsywp1dAAClxPinYjBzJKIKI1q1rO1/xrf/xZHt/zHfB7AiK8NgY39O13VkMp/6WgO+QF7fd7WVx3r4VwvBhV0ymWx4Xmu94YJuaGgIiqLYWaal/E65sXqcDx59lTsoIt/7kiAAsgEQLqLQln+pUUrNrqxWM5feST2Oo9bZpMYzf4Hx2P2QDj4C8uFfreq5AoEAJElyxahKYHT+bWzTyM2GZJnodMyBLxfGGMx1Jlh25LyX2v3Pr9Ko7f8C740sBHykydhJNZDvIaZpjpxfD9A1dUSEJxKJmvoH6+VfLYSu6xgaGqqZr9VNVDLS1e2V1Xyk02mk02moqmpXWZPJZM2n0RGtDYlVwhXIspy3KlpOZqplWQ0f4QjUfi59rcVqrbNJzbdfh37HryDusS+Ub3xnzFpLXT8/b5UKwFrDfc8dHR32mpg4UsVMJ+LQ+vvtyUSiKEKSpJLENWMM1kYLLDkinsrZ/hcEIGtYSGgmgnm2/3MZskRsNCRMVQqvS8/q9jZsMBi0/YO1qsrV079aiHZuWOIjXVOplL0zAuS/0WhFscqppKFOkqSR368WPWaidMgGQDSVQlv+XDSUs53e6MqqKIoIhUI1n0tfq+OoRzapteYjaDdeDmHb7aGediGECuJoBEGwz1uhrNlGwyvP3IZgr8mOrjJs0dDX1wfLshCJRNDZ2TnuDZLVb8EaHvkwLXf73zBHtv9lUUBHnu3/fKw1JMTMwq/BP/gNwxjlHwwEAvB6vVW/9xrhXy2E09eqaVrJ16hVcI505aLcOdK1VWwAxSgn+orfiBPtD4lVomkUy0wNBoNIJBJlZaY2MvLJ6/UiHA4jk8nUZZxrNYKhXtmkbLAP2auXQvAH4Dn7Egje/HPPi4ltr9eLjo4O+7y54YPVeS0NIyc4P090FTByjLwZpphn0opasPo+fW+UE/4PAGuHMzAthi7fWHtMIRiAlZoMvcCpzW2w4tvN/Hetu7u76lzMRvpXC+FsWAoGg5BluW18rc4bDUmSbF+rJEltU2V03nhks1lEIhF0dXWNEqetXEkmyoPEKtFwJEnKG16uqioikYjtqyx3+64RYfrORqDh4WHXxcuoqoqOjg7oul51A5UTlk4ie/VSIJOGes6lEDq7iz4+9zq48bzlrilv5VnJL1Y53DM5PDwMVVVHhbxbSQvmhk/fw+V2/8fTOvpiWYRUCeo42/+5aFv8q3k1YoE1CIJgB/JzcdDZ2Vlx5Yr7V5/7dwxPr6reHlMpvGFJ13WoqtpWk5V4zFVfXx9M00QwGITP52u7RqVsNouBgYFRFWXuK291mwdRGu31jiZcTTmZqZVQTxuAs+nGLY1ATmrdQOWEmSa0X/0UbP0aqOdcCnGb7cv6+Vo1ntWSfGvK9/5hogThkKMgbD+z6PM5PZOBQACdgU4MrRqCBQsMDAzlbf+bFsPHA0n4vGLJ2/+5DFsiNhgSpuX4V0uJrspms8hms7avOBQKVdT0smh2N97rG/Gv7tjlxXadzals8u3xdvW1AiONSrIsw7IshMNhCIKARCLhCptNreAVZVEU4ff74fF44Pf7y87cJVoPqqwSDWG8zNR0Ol2TXM16iFVerTQMA7FYzHUfbKWOca0Exhj0O26A9c4bUE48A9Lue5f8s4qi2CHnlVTK64Esy2WtSRAESMedBGHXz5T0/IwxxIfj+OTvn8DUTXsEasIqb/t//WAKusmwXbcfeVv7S2SdISGa619l+QcD5PM7OmOUKqlKSqKAc/efioAi4srlGxrqX3XiPLZ29rWKoghN0zA4OIjh4WF4vd62HOnKK8p84AWPvmqHa0jkh8QqUVf4lv94maluyNXMRRRFhMNhqKra8EagUgRnI86h8dj9MJ97HPIRx0Je8P9K+hlBECCKYs0bz6rBOQihnmti1pYsVQ0wDROZTAYp3UCWSZBECQLGFwzRlI7BpIZJYS8C3uo+fBmAj/L5V8vUjJZlVTzvPeKTcc78qdgQ1/Dr15rjXy3UeJTra231vFZBEOwKI99lGRgYgCiK6OnpacsA/nQ6jf7+fqRSqba4hkR+yAZA1IVqM1MrpVYfhLWOeyoXviVdqALGLQn1OIcc87UXYNx3C6R5n4O88MSSfoZHjTHGEI/H67KuclFVFX6/H+l0uuwbjnKqUYwxmBtMsPSn14wBGNYYTJgQMCLiIQCWxcDY2OtmmgxrB5LwKiImd3iRKmu1+dEgYIUmY5Yjf5UxVpJwziXfeFDTNJFMJov6kOdMDuDY3Xvwh3/0Y/fJ9c9fzWW8Lvl2yWsVRXHMehljSCQSSCQS8Hq96OzsLOmatRqVRF8RrQOJVaLm1CIztVKKibxS4BE+mqbVJDO1UgodBxdefMu/Xpgr/gntt1dCnLkrlG+fC2GcakyuZ5ZXfJtJJV7oarZKrc0WWGz0a8RNAdxowMBgWqa9NlGUwSwLlkO0rhtKwbAYZkwKQqzB1CxOzBKx3pCwNfev5rm/Kff3xjnvncd+FfO1Ltrt0/zVRvtXSz22Vs9rHa87vtxr5mYKHavzGpY6TIFwP+21H0A0lfEyUyVJwvDwcN2EKlD5yFXnNnEt454qJbfZh1sSFEWpeIxrqVifbIB23cUQunqhnvkTCON0g9fTM1spzjiqUr3Q1azbGrJgDYz+4CzW/W9ZFkxzpGIvSSM3d9GUjqGkhq06vPB7al9HWG9IGN7iXy2lyapUiiUiOGmmf7VcId7OvlZg7DVrxYSE8ZIAeC5yf38/MpkMOjo60NXVBY+n/kMqiNpDYpWoGkEQSspMTaVqsalZnEoSAfhUGE3Tahr3VA3O42ikGGSJGLSrfwwwNhJRFSpcIS3mmW2WYG1GRJaVsGBuzOm4BxAvofvfYiOiVTcsrB1IwqdKmBzJn19bLdy/qrH8YrXaQHle0SrmkWyWf7WaY2s3X6sTZwB/rTJ2G0U5GavOYQrt2nTW7pANgKgKSZLy/mFz+gQbIVI55VRWubepHnFP1cIYa7glgekatOsuARvYDPW8n0GcPC3v40rxzFZrx6iEZkRksQyDuW7sazm3/0th7UAChsWwY3cQ8pYRrxaztoRe1e4DVYeAlZqM2XW8H3N6JH0+H7q6umAYht293Qz/ai3ei+3ia81H7khXnpiRTCbruotTDZUMBDAMA9Fo1I6+6unpQSaToeirFoDEKlERxTJTg8GgHQ3U6D/ipVZWubBpVgNVMXilWhCEhlV6mWVB/93VsD58F8ppF0Laabe8j3PehNTTM1sOPAs0k8k01GfMdAZjrTHG/1lu+P9wUsNwSseUDi+8qjjK16ooMkTBglXD36OYJeLvKQn7Bsc+Z61/X9PpNNLpNFRVRTgcBgAkk8mG+1dreePkZl9rLY6RZ+zKsoxgMIhwOIxkMtl0a1QukiRV/LebR1/l3lC1W9NZO0E2AKJsFEUpmpmaSqVqkplaCeONXM3N/nSbUOWZrqZpIp1ON+xu33jgDpivPgd50Tchz/vcmO+LoohQKFRyjFc9BzRwuM/Y5/PVLI6q5JGm5paIqpzPtVK3/zm6aWHtYAo+VcKkjtHb/5ZlQTd0QBAgSxJEUaxZjXVFVsL72dG1inpeL579ybdht5rUix8dvEPD/Kv1qPK7zdeaLwmgGpwjXWVZtke6uiX6qlajVnn0VTKZbDubRzvhjncd0RIUGpPqpszUQiNXubBxU/ank9xMV13XG+anMl74K4xH74H0uS9A/tLXxny/kmalesNFfTN8xowxJFYmwDJjz0M52/+MAesGUrAshundgYLZ/5ZlwTBNgLER200NRKvKGO6N+jGUOzCgzvBt2MHBQXQHPbjkS7uO+Fdf/6Su76t6W1KcvtZAINAUwVMr8ZaLZVmIx+Po6+uDZVno6upCR0dH00e61vp4uc1jaGgIiqLY4px8re6AxCoxLnxbOteb6qxsuaGDHshfWXU2UNUzl7RS8lWkG1GZBADzvTeh3/ZLiLP3grLk9FGvWU2zUr3WnyvqG+2nY4zB2mTBiI69IdPK3v7PIprWMTnig1fN39DCHLLUYgyGaYIxBkkcGTJQqWxVmYUUE3B3NABji4ZrpMeYb8Nu69Vx/F5T8Ny/o3h5o1Y3AdSoY6t24lc1OAcC1AveXZ9OpxEOh5vaXS9JUl3FeX9/PyzLQnd3tyvE+USHxCpRlEJjUt0qAJ2V1UZGZlXCeN309f6As9athnb9ZRCmbAP19B9CcPwxrjbFoR7r5xXeWo3mrQRrwII1lKehDECsnO1/w8K6oTT8qoRJ4cIVuHzPaDEGwzJH3uuiAFmUIJZ5rhWMnLs1uoTHE83d8jx6pzDmTPbj2hdWo0+T0NXVBXWcuLRyaXSzXzUTvyql1jaAYnBbRzQabVp3fb3FeW70VbPF+USHxCqRFzdkplYCF0mNjswqBz7Fq1ima73FKhsegHbVjwGPdySiyhcAMNbT2+yGEaA5cVT5sKIWrM35PxzL3f5fO5iEZTFs21N4+3/c5wGDaVkwLXOk4VEaEa2lPJ3zMS+mPHg3I29ZW+NvAJz5qz/6y/v4ZGDIblzy+WoT49Voscop5GuttRgH6mcDKMZEGelK0VfNp73eUUTVFMpM5QLLrQKQwyvBbhJbTrjX0jCMol7LeopVlkkje/VPwJJxeM65BGJ3b809vbVav1tuOqyUBXND/vdSudv/g8ksYmkDUzt98CrVV9oYMCJat7zXK/G13hfzY6CMynCtceav3vDyegwNDY1p7Knm/dQsserE6Wv1+/0197U2wgZQCB5X1tfXB8Mw0NXVhUgk0jZDFDjcc+0U562SS9vqkFglbCRJyrvl7xRYbhSAwKfd6h6PB6Zpur6Bqlnd9Mwyod30M7CPV0E97UKI03esm6WjmvW7qcLLsls6//NonXK3/zXDwvrBFAIeGT2h8YUKK+MUMuT4Wm3RmqfhMOf/GSbglk8k27/aDOZMDuC43Xvw3OoYnvoomtc7WKkwcINY5Th9rbyRpxa+1kbaAIrBu+tTqVTduuubUUV24hTn9a6YEyOQY5iwq6m5NDsztVS8Xi+8Xq+dkReJ1D9kvBx8Ph9UVS0r07UeYpUxBv2u38D6+/9BWfJdqHvvX7ehCJU+F6/gNzJjtigmYK23UGiPv+zt/4GRbNpti3T/j/qZEp87F4sxWKYJEQKkLVuyFiue1/qxJuDPugdfDjfvRu+YLfmrv33jE8zsHslfdQbWe73eigLr3SRWOVyM86zPavNamy3gctE0DZqm1WWIgpuONZPJIJPJ2HnPbs2lbXWosjrB4Xf2ubghM3U8eINSrpfRLWutJtKrHlAli9AAACAASURBVGLVfPIhmE89AvkLCxE64msIBoN1G+Fa7dhbNzTtqYoKcZMI2ZLh8XrGVPTK3v5PZBHPGJgS8cGjNOZPr4WRZixzS+Mh97UW4qW0B29nmrd1K4kCztniX70iT/5qpVvpbhSrHC7Gq63SNdMGUAznSFegNs1mbhKrHF4xd2subatDZ3GC4sxMdf4RVxTFNZmphXA2KOXzMo43GKDelNJAVerz1Arzby9D/8NvIc89AN0nnwPAPdeXWyRkWW5KHFW+9YRCIehrdaQGU8hqWWhZDaIkwuv1QpZlWIyVtf2fNSysH0oh6C1t+59Tq3eA3YxljjRjKdzyk+exf4r50G807/eH+1c3xjX8+rVNeUVmuRFRbharTnLFeDlNZm6xARSils1mkiS50o4GuDeXttWhszfByDcm1bIsSJIEn88HQRBcUdUqRCnjPgsNBmgEbhxHan30AbRf/xzyjrPQde4lSDRgDnaplVWfzwePx2PPjW82giAgFAphaOUQsn2f+ooZY9A1HbqgQ5EVxAyAiSJQwnl0bv9vU+L2f73gzViGNZLl6/V6YZoWDOPThIUME7As6sfpXQkoTVor96/e/Y9+zN7Kj0N3zG/t4RFRbhx9Wg1cjIuiiEAggN7eXvtvSiFB6sZqYyGq3TpvlWPltgc+blgQBCQSiXF7FoixUGV1AlEoM1UQBITDYddsv+ajnAalZlRWy22gahRW3yZo114EqbMbvnMvRTyrNeT6jidWeRyVIAgYHh5uulDl6wGAgX8PILvp0+s3qkGJAUlNR0I3wdjIz433XuuPZ5DIGJjW6YdHLu99Wc86mWEYSGcysCwTquqBKIj2sWw0JDwSr01sVKUcs1s39pjsx2/f+ASrh4r7aPNV7dqhG72cJrNWqR47qXTrvFXEKofn0g4PD8Pj8TR0WES7QGJ1AjBeZiqAspoVGk25/tlGV1bd6u8V0kkY114EmDqUsy+GsSVLtdm4JY4q33q0YQ36+sI5rs7uf8ZGttWdE6VyO++zuoWNw2mEvDK6gu4MEzdME5lsBoxZUBQFXo8XsiTh/9Iq3ky7179aCL6V7pz13uqiwBlQn81m2677vNytczfbAIpRD//uRIHEahtTamZqNpt1pQm80galRo0qraaBqhSqEb1eRYbxq8thblwH5XtLIUzZpoYrG59818BNcVT51qMndMRXxIv+TL7uf8YYzC0TpURRHBGtggDGgI9dsv1fCgwj4eealoUoSvB5vXg0HcZms3kfpKX4VwvBZ73z7fR2CXLPZrMV+1pbgVKmRrVaZTWXSvy7oihO6OlZ7lMoRE0oJzOVf8i6BR5QX2mDUr2Pp1YNVONRieiWZXnE//WbX0B7529QvnU2pF3m1GV948HXXuuBA7VYV+56mM6grdEKRlQB43f/jzQxmfZEqYGkhmTWwNZdfqhlbv9/+pz1odi7ymIMmq4hk8lAg4AHtB6ogeZNJcrNXy0X0zRhmmbbTVnK3UKXZbnq4QluotjUqFYXq05KbaqTZXlCi1VqsGozRFHMu3VSLDPVTWLV4/HA5/MhlUpVbEuoZ2W1kQ1U/DhKrSYFAgFIkoShO38N7fknIH/lBMjzD67rGgvB11yL61lL+PVzroeZDNpqDUxnQIHCRrnh/6msjvUDSXT4FPSG/WBgrvpwLeUdxTAiiFbpOu6DiG9v0wVd18vKC64V+fJXy4UHufNc066uLhiG4ZrmvkqxLAuJRAKqqtq+Vl3XkUgkmr57UQt4YYUXCXp6eiCKYlsJViB/U10mk0FyS0NsMeuDqqqu+PtaT9yhUIiakG/LHxjfU+kGsSpJUs3ii+pxPM1ooCpVdKuqikgkAsMwMPj4g9D+dAekAw6B/OWv132NhRAEAaqquiqOynn9bKHKGPSPdViZ4h965Yb/f9yfhCgK2LrLD9MqvRkrl3zTp2oBK/Nm7uUY8Pja6Kit2Ub6JSv1rwL5G4+cU5YKbTW3Ely4ObfQ283X6pwaxRhr25GuTv9u7ujafGJVEAR0dXU1YaWNhcRqG+DMTHVSamZqozyeheANLrUKqK/18TSrgWq8VAMes8QFWOrvr0G/5RqIs/aA8s0zm3ZNfT4fAoEADMOoy8CBcvF6vQiHw0in06OuH2MMxgYDZqK4DM1a5YX/b45lkNJMbN3pg7Jl+7+UZqx8sDoZASp51odifqxO6PbWbKP9kpX6V4vtTvAu7dyt5lYj9xi5rzUej7edr1UQBJimWfeRrm7AeVPl9Xpt+5KTVm02KxcSqy0Mb6DK7SR0evJK9VQ2Q9jkNrjUaiuuVpXVejdQjUcx0e31etHR0YFMJjOy3bd+DbRfXgphq6lQz/gxBLnx1Qbn+YrFYg1//Vx42kXuhDOO2W/CGBx9TXPFIWNArIzLntFMbBpOo8OnIBIYW6kr1IzVaCoRqzqAO6MBZKyRrdncyKFGRPFU4l8txUrDt5oHBwchimLLTR8qtCWe7zq1uq/VKc40TbOb6EoZDtGqaJpmv0f5ca5YsQKZTGbCiFXyrLYosizn/UPq9Xrh9XrL9gg2svrFxTSAus1/r+aPFQ8YlySpqbmz+cSqJEkIBoO2vwkAWGwY2tVLAVmGes4lEALBhq+V+2W5T04QhKZX6xVFKejbM6Mm9E2FI6o4cbNoz9UoGAPWDGzZ/u/2F+3+581YABz+OwbGrJzH1YdKn7fPFPFg3I/jwikIwuj59o0K5S/Xv1qO75v7P/nxdHU1z6dbDuP5N53XyefztbSvNd+x8kiodhsO4UQURei6Dl3XIQgCBgcH8eijj2LnnXfGwQcf3JaVZSckVluMQg1U+URMOZTbzFMpXEwnk8kxlS434KYJVLl5sfkEGMtmkL32IrDoEDwXXgGxd3JD18gn0LjhfAEjN3GBQACapiEazV95s1IWtLXj38hpFpAqQ598Ek0jrZnYricARSq9Isc/eEdEqwzGrPpPGKviZ9/KKNheUbGf/9NzyKN4kskkvF6vvWOSSCRq/nvO/atnPfZvXLF8A676wnbwKcXtMpX8XePThzweD8LhMACMZPG6sJGl1GPkea38uCKRiO0FdeNx5aOYMC/0PnRzjnipOD8LGGOYN28e5s6di9WrV+P222+HKIr43Oc+h5kzZ44pFLz//vt44IEHwBjDfvvth0MOOWTM87/11lt44oknIAgCpk6diiVLlgAAhoaGcM8992BoaAiCIODkk09Gd3c3BgYGcPvttyOVSmHrrbfG8ccfX9eRsiRWW4R8Y1L513kVsJq7ZL4tWa+70GrFdL0plpbQLLhnlQvCTCYzSoAxy4L22yvBVn0A9YwfQ5yxc8PW5qyO5ztfjfZBl1oNtzQL2mqtqFoTIMBiDNFiQjXn59OaiU3RDCJ+BZFAZQ0tI2u2IAgiJEkaOYdivTyr1V2bR+I+bKMYmKaMPc/OUZp8K73WIyYjPhnnHjAVS59ei1+/tgln7T+l4Put2pvwbDaLbDZrR0OVOxq0EVTSGd8Kx5WPUre9qx3p6iYEQch7fUVRxF577YXddtsNK1euxPPPP48///nP2H///bHXXnvZCRH3338/vvOd7yASieDqq6/G7NmzMXnyp4WNvr4+PPXUUzjzzDPtSEbOnXfeicMOOww777wzstms/Xv26KOPYsGCBdhrr71w33334dVXX8UBBxxQt3PQGoacCU4pmamxWKwqoVnPRADnAIJGTSwqRyy5dQIVMBL9VCif1Lj3FlhvvARl8cmQ9t6/oWvq6OhANptFPB5v+vnK/T0oWHUxGLR/a2BmkfVu+VbcBMwSP/sZY1jTn4S8pfu/WkY1Y0lyyc1YZb1GlT9vYMS/WqzxzBnKX4/mpd23CmDxFv/q/xbxr9Zqx8jN/s9qYpzcfFz5KPdYC410devx5aOYQOffmzZtGr7+9a/jpJNOQjQaxYcffggAWLNmDXp6etDT0wNZlvGZz3wG77zzzqjneOWVV3DAAQfYv5+hUAgAsGnTJliWhZ13HimEeDweqKoKxhhWrFiBPfbYAwAwd+7cMc9Za6iy6mIqyUytlHqI1WZuqfMt9GLnppQt42bh8Xjg9/thGMaou1yO8fSjMJ74E6RDj4J02NENWRN/35mmWdL7rt4fBry6yxgbdz3MGgn9Z9r4vyuaxcra/t8UzSCjm9i+NwC5jO3/8WCMwTAMWIIIURQgQITFLFg1+H2vxe3FgCni/pgfx3ekivpz+fuF52T29vYinU4jlUpVbXdYuMW/evMbn2CnAv7VWtub8vk/NU1rqj+yFsfYKr7WSoV5oeNzux8ZKE2sckKhEA4//HD7/9FoFJ2dnfb/I5EI1qxZM+o5Nm/eDAC47rrrYFkWvvCFL2DWrFnYvHkzfD4fbr31VgwMDGCnnXbCkUceiVQqBZ/PZzd3RyKRun+GUmXVpVSamVoptRSroiiOilRqRCZpLsUqq42aQFUJPA9UlmXEYrG819f8+/9BX3YTxD3nQfn6KQ2pEDjfd26Io+LVXZ6GUFSoMgZ9nQ4rNf4HHGMMw2V8bqWyBj6JZtAZUNHhr0+e5UgzlmVPxpIlCaJQXa2V5fywMPJCZfNOVsHL6dKO25mTaZqmPf+9mrnokijg7PlTEVAl/PzFDUjp+XMo6/F+5f7P/v7+kkdm1otaBuQ7jyuTyaCjo6PhubrFqNaulnt8rZCzW45YLYXczwzLstDX14fTTz8dS5YswT333GPfTK5atQpHHXUUzjnnHAwMDOC1114r6TlrDYlVl1EsMzUSiQCoT4xSrcSqz+dDOBwuSUTUk0LHU+qWcTPIJwjH/FFZvQLajT+FMH0HqKddCEGs79z2Zsd35eIU89FotKTmHWOzAfP/s/fmcZJUdbb4ufdGRG5VlVlVWb1UNwVIi91QjQJig2AD0izyFNfn+gMdt3mOPBF1AB0EFUZkRlCYgVHGmXnjMq6s4yCbsoiCuDTQCE030PRKd9eWVZWVlRnLvb8/Im90VlZkZmRmRGQU1vHDp62qzMgbkRE3Tnzv+Z4z6W0ynzQE6qkEKiG4wI6xGSiMYGVvMN6cour/W9yWCIAQMMbAKG2JtLarWa3Ez6cT2Gk0dx5K/0hpXt8OGcrEFXz2xOXYm9fxL4/tmzfnhNE4Wh2ZGbbvZ1BpTpWRp1Hxa2WM+bavtSJdo4ZahNTLsUin05iYmHB+zuVyTsOgRCaTwfDwMBhj6O/vx5IlSzA6OopMJoMVK1Ygm82CMYa1a9di165dTlOtHJPbNv3GIlmNCLx4pk5NTQVWBWyXrFaSGjdPy7BRTfQ6kUDlFbUIYfU+8LERlL5xOUhXD2IXfgkkFtzNMIrV51aqu+a4CXO/N4KtcyBver8J2sv/HEN9KTAWTFXBbasC9vVqOrrW5kmr+5FrjdBZAL4/mcQsb/4YSPP6SjLUCsmT+tWHXPSrYZBVCamPDNv3M+h9XGi61mbh5rPb3d0dGZ/demS1UVV1aGgIo6OjGBsbg2ma2LhxI4aHh+e8Zu3atXjuuecAwFn96O/vx9DQkBOmAgBbt27F0qVLQQjBqlWr8MQTTwAAfv/732Pt2rV+7GpNkHon+J49e6LTafIyht+eqa2AEIKenp6mdSfVbgRRqVTGYjEQQlAsFpFIJKBpWuS0SV6OXTqdtvWYszMoXflZiLH9iF16LejKQwIbV6UdVTukPpPJ+OL8IJ0kdF1vijRbeQv6Nm/XjRDAqAGIsi60kre5pUjNGhzP7plEX0rDUDbleUzNYjxJMK42JgSUEFBCIWC7RPAGxHOMKvhdrNv5mRCCmKah2Mb3fUTMwAcb6FcbQeqiY7GYY7HklYRZXOAr9+/E43sLUCigUAqVEcQUCpUSKBRQKYHKCFRm/05jBEr5dxoj5b/TiteR8uvsbSm08nXy79T+XeXfy79X2YGHviB9P7PZLEZHR33fbj0kk0kkk8nQdZ8DAwMYGRkJ/HMqk/jy+XxH7x39/f0YHx+fdy0kEgnEYrGG8+zTTz+NW2+9FZxzrFu3DmeccQbuvPNODA0NYXh4GEII3Hbbbdi8eTMopTj99NNxzDHHAACeffZZ3HbbbQCAlStX4j3veQ8URcHo6Ci++93volAoYMWKFTj33HN9sa4aHBx0nUEWyWoH4cUzNazueaB5chGLxZBIJNomNUFA0zRH99ssyQkDlc1n9Y5dJpPBxOgo9G9cBv7ME9A+ewXYkccEMqZKOyo/JBx+kNVG5v61wIsc+vM6BPe2D1Om7alKaWOyyrnAs3unwDmwerAHjAZXXfJKViUISLkZi9RtxhqlCh7zmawCwJu7ilifan8ukA9ykuR5fRCeLlm4+7kcCroFnQuYlgCYgqJuomhYMDmHbgkYloDBK//lzv/XLQGTC3g8dRpCdQgsRUxlUCkBI2IeIVYZgUYpFOZGiG3CLIn1moEEDkof0Fh2gqxKxGIxpFL2A1vQfq2EEPT19WFsbCywz6iGpmlIpVKglGJmZmaeK0sYqEXQZXXbrQl3oaIWWV10A+gAgvZMDRrNdoWHDUIIYrGYo2uMSrUXsI9dKpXy1MEOlJuDvvvP4E/9CepHLgyMqMoHDz/DGto5L2p5y3r6XENAf9E7UW3W/P+l3CxKBsdhS7oDJaqtwG7GshWplFIoZS2jEKJK/1o198Afh4A783EMqSYO0dqbu6rN3fv6+jxVuLpjDO86sn/O76SGvlkSZZWJazWZrfxXtziMMinW5/ydl/9uE1+j4u+WADhhMLnAbMlAybRQ0Pnc95W3KclzNTRG8LkTB7HuoG6XkYeLSr/WoP1Mg9Lm1oOu69B1HYwxpFIpR4rUTNW/XdT6HMZYxyV3YWGRrIaMWkv+UUhO8nLhRXVJXUIex1KpBCFEpIhqK+ldMzd/D9aDd0F5y3uhrD+z8RuahJyALcuKRFiD1MoSQlpqgBNW2aLK8HYTEQIu5v9l6kYASihAiJMqlS+aGJkuIdsdR3ci+Omz1VuhbMYiAAilYJQ614NoY7uNwAH812QSF/TnkfIp0ECau2uahp6eHhBCmgoZqGWo3giMEiQogd1O5H8jo7z2NE1DoVDA7Oys6xwshIDJ4RDZvM7xzd/uwdd+vRsff+1SvOnwXpethw+p+5QP5H5alEl0gqxKdCrStd4+M8Y6UuntBKKhHv4LAKUUmqbNI6pRavyp12QVtBtBu6g+jsViMVLi+HQ6DUppU81n5u8exPT3bgQ7/hQo7/yg7+NKJBLo6upyGpb8RrMpVtKpQdf1uilU9T7P2GmA13Oqr0It839CCShldqXSMsv7QrFzbAaaQrGyLzid6pxxtNm1X6sZy1VY6lOVKMcpfjyZ9GtzDnRdx/j4OCYnJ53ObS+d6WE2WDUDSX7GxsZAKUU2m3Vt6iHEXvpPqgzpuIIVPRqu3DCEYwe78K3f78P3nxiJ1Cqc9DMdGRkB59yxKPNDz9iKTZPfkFX/kZGRUCzLFEXx1bZqoWKxshoC3NKngOhVKSVZrSQJ7Va6woAUmVcvEUahU7VVzaW15c8w/vXrUI94DdhHP+PrvoQVhiDJaiOi0Kw0ohbMl0xY096PsVFj+Z9SAgiAc8spQQohsGt8BiWT4/DlaTBGwbmdNrVQwIUAtyxQQsBUhlgsBtMwYHEOd9+B1rFZV3B/IYY3+qBfrUatCl4th4ioklUJ6T8rzeq9SB5iCsXn16/At3+/Dz99agxTxlZ87Oh+qAG5UrQKuVwei8Uca6N2dK2drKy6oTrSVUoE/JRA1POVXSSri/AFjDFXw2t5YpdKpUglJ1VXVqWOMQw3glZQSbrclrA7SVbb0VzyvbuhX/dlkL4lyFx8FWYI9eVmW6mJbqVyGQRakUa4wRw1YY55f+ATAvPM/wkl9pKx4PP0rtNFE6PTJWS7Y0hqFBAClBCAMnAuFhxpLZkWDMOAqihQCYVl+f+wfHc+joNVE4e1qV+tBVnBm56edrxN3RKXKPXn+gkDs7OzmJ2ddSQPADAzM+O64sYowSdetxRLu2P47sZ92DtZwCXrVyCpBuu93Ar80rVSSiNR2KmGtCzz+gDVDGpVVuX9baGc2+0iGuukLzN02jO1VUiyKpetZYNS1IhqFD1AJQgh6O7udr7jZvVEYnoS+rVfBAiB9tkrQLp7fCHdnQhDqCcDaFUa4QZr0oLxUnPvn7P8TwDKKAjsClz13G9xgZ2j9vL/8kyi4vcWLMsCIQBj7lr0qELKA0q6Dl0vOde9oii+1VgFgB9OpjBtBf/QWJlIJJdlVVUFEP3Kqhuk5KGRWT0hBO8/ehkuPvVQPLWvgC/cuwNjheg23FT6mTLGHL9Wr9dO1CuJ8gFqdHQUnHP09/e3n9LWhsfqywmLlVWfUWvJ368KUpDgnCOZTDpL6lG8EJppRAv7BtVuJVroOvTrvgwxPgLt4qtBlw42rfushl9L7H6iVWmEG3iBQ9/Z3LGuXP63q6nlpUUhXG+ae3Kz0C2OVy517/63iT8HIRSMKU4zlh+ojkX1C5VnARcChmlCwCY/8XgclmXZv2vzfJniBD+aSuIjmRmEYZwgK3hyZYMxFgk5UKuolDwkk0nXpiVCCM44vB8JYuJrD+3GxXdvx2VvPAhD6ejGh3LOHelDMplEX1+fJ7/WqMkAakFGukoJhAx9aUUCUUsG8JdGVhdOKSDiqBWT6mcFKUjIyR2wG6iidhFQStHd3d1UI1q7RM8rGGNOBGgul2uNqHIO4zvXgG99GtrH/xbslUfYv29jH+LxeEejb6vHLpO6JHFum6jqHPqLelOt7U73PyGg5WoHt6y6zUX9XTGs6E0gFa//bC8Ed5qxGGVglLXdIBUWCAAIezlztlgE5wKxWMxuCm3zGtqqK/jlTLjEqTJJSiYShZEkFRQkuXNrWpIE7ujlKVx1+hBMLnDJPdvx5/3heXS3g8qqeE9PD/r6+hCLuZ8vC4WsVqIy0jWRSDQd6bpYWbWxSFbbRL0l/1QqhVQqhXw+H6q5fzOQJDAej2N6ejoSlbdqJBKJlkhXGGQ1mUz60lFv3vyfsH73IJR3fwTsdeud37eyD1F5QJJjD0K2Iayyl6qLB2U95C2Agzo3PS9erEmNYaDHewSoEAIWtw7Iamj0qnuN9tq0TBSLRViWBU3TEIvFbBeBFnHfTBxbS+Ev5FmWLdWQhvm1Ou4XEqrJnTSsB4BX9MVx9ZkHozeu4PJf7sRvdkx1eLTeUUnqark9LERJh0Srka615o56LgEvRyzcKzYCUBTFddm/Wh8Y1ROqsvI2PT1d1t9F56YqK3EAWiJd9ay42kV1lbAd0b/5wC9g/vzHYKeeDeXsd835W7NkVZLnqDwgyePkp1ZW8LKXaqm5m5YpCIrCtqNqVE31gkZVU9ug3yathJDyknRz52NQt+XqUIBasCwLxVIJhm5AURTEY3EoLejvBIAfTiUxGYJ+1fXzK+yGTNNEX18fMpmML3ZKnYIkd7quQ9M0h9wt7dLwtTMOxqr+OP7x13twx+bxTg+1KbSra406Kqvkjc7FeuT8L62yunCv1A6CUop0Oj2vkhb1ZCeJyjjX6i76KJBVv5K8gqisyiohpdSXjnpr0x9h/Oc/ga59LdRzPzlvvF73ISw7Kq8ghEDTNN+1skIIGLsN8Bnvx52AgCoM40WbPDZigH6lOUkICKeCSykFpQoE53asa4cwb/9I/b3mwm7GooRAUVQkVBWGacIqa129IM8JfjiZxMd7w9Gv1oJbx33QMaFBQxYbZCd61+wsvnIaxbW/2Y1/++N+jM4Y+NAxS9qWdISJSl2rtPSSTYBRdARoBZXnoqyyVgZeMMZq7usiWV1ETVTGpNo3nQP6mah5prrBCwnsNMH2M8nL78qqHJtfVl58xwvQ//nvQVYeAu2TXwBxqVg1IqtRtKOSjWamacIwDF/PKXO/CSvnfYJm1L65jRcN6Gbnj41sxqIem7HskFT/CUar3wgXArqhgxj2A1KzzVgvGArumYnjrK7Op+7IjvswYkKDhEzokp3oktwNLh3AFWf34LoHn8ftm8cxNmvi0ycsh8oWXoVydnbWMeBvZOm1EFEr0tWyrLrpVVHlGkFgkax6RLVnqmVZzu9a9dMME15JoFcjd78RRNe6X5VVWTHnnPs3tokx6N+4DIgnELvwyyAJd8G9qNGhDkQjorcS1SsLtZokWoU5YcLc721yJiBQVAUQQL5YwnTEimZccMCSDgLMtsziokxODyCoOhiv2nCz1WQBwDBNGKYJhSmIxWJ2UpZhNqwY/2omhkNUE6tjwd9ovcxlzYYMRA3VPrKVnejxeBwXnb4aK/t2419+ux25WROfX78SXbHoebE2gvRYnZycdB4wJKmLguTJD1RHumYyGRiG4VpFXYjNZu1gkax6gJsuVQiBZDIJznlkk52A5omWrEaGubwQlK2XjJdsB0FUzEVxFqVvXAZRmEHsC18H6Ruo/VoXwh1FOyq34+SnDMPKWzB2eTs3ZDXVMA1YFre7/31GNalseTuCw7LgrNYA9jUotx/cN+sfDTYtE6Zllh1RbG9Tw0nGcsePJpN4fbIEjQAKEVBh/6sRgJX/VSCgyr9XvEYlAIN7Ymw1mnnwrq5MhpX93i7qkRaZsPSWw3vQn1qFr/3yeXzhvp344ikrMJBSQx5pe6jcTzdLr2KxiJmZmcjei5uB1FjLOSGTyYBzjn379kHTtL84CQCwSFY9ofqmK8mVTEuJKlohWmGS1UYJVO1CNra0gqA0oMKyoN94FcTObdA+/WXQgw+r//oa515U/Hql/jlIrSwvchg7Gu8rge3MIYSArusQEMhbQNOr/36LVj1ACAFLWLa+VpLWADWtQWxZdt5TQqGqdjKWaRowXeaSgiC4b8a7w0I1CACVCCjlfw+QWkCFgFL+OU4punUKvZCY8/c5ryeiihgDil6ENlVEVzyGdHcGMcFRmsnDMjt/zbUCwzBw3BIFX9lwMP7+gZ245N6dPAX7lQAAIABJREFU+OpZh2FZovPSL69wI2huulYvfq0LBVKyNz09DVVV8dBDD2HLli045ZRTcMIJJ3R6eKGC1DtR9+zZszDO4oAhl/slgTEMA6VSCYlEIpJktZJoNau/isfjEEIEqgWq1FkGWbVgjDl2SVEYmxACxvdugPXLn0P90P+Fcur/avgexhgSiQRmZ2edprioLHk1MveXFYB2NIDCECg9X4Iw6k9FjDEoTIFhGA7JMzgw1uTyPyl3/lRaWrlVUSmlrsv2foJSivEeBeOwwH0mFFuVOLaqB2yBFKaAEHtp3y8QQqAqKhizl2/NJpqx/IIkzqU2NeaUUqiqCoUQwDRAuDmv2juXPAv0M47TUqXAm8my2axjzeUFL04U8ZUHdmHW4PjaOUdi7RL7Phb1imRXVxdM02yYCqhpGrq6ugAsfF1rf38/xsfH5zxQTE5O4rHHHsOTTz6J17zmNTjhhBNcfVufeeYZ3HLLLRBC4Pjjj8eGDRvmvWbjxo246667QAjB4OAgzjvvPADAhRdeiOXLlwMAent78bGPfQwAsGXLFtxxxx3gnCMWi+H9738/BgZqrwy2gsHBQdcrZrGy6hEyDUXemCuX7aICPzrVOedtL53XQ5g6y2Yrq0GPzbz7Fli//DmUs9/liagCNsFVFMWxo4rC0o8MkGik025XBuBYVNUhqtLn2I4OPXBTcsz/FzBsDagBaAwKpeBCQHDuC+ELgzSKNpuxfAHxZ1855yiVSjDKbghUU1H04Iawy2B4f7qAWIRuFYf0xnH1GQfjK/fvxGdu3YTPrj8YbzlqJSzLisyKjRu8ajSrG+cWsq61Wo8MAOl0Gm9/+9tx9tln4/7778eNN96IQw45BOvXr8eSJUsA2Ofrz372M3ziE59AJpPBtddei+HhYSxbtszZzsjICO677z5ccMEF84o6qqrioosumjeen/70p/jIRz6CZcuW4eGHH8Y999yDD3zgAwHt/VxE6BKKLmTXXaVnar3Gl05ARrrput6Whjao/WolgapdeCVLYYzN+v3DMH/0HdDjToLyvz/s6T2Kojidr1FIFSOEoKurC/F4HFNTUw0rHO1ACAFjpwE+W/s8lj7HhmHMW/Jrafk/ouCc20vpZQ02o7Rtxel866ogPV3tiu38ZKzg50+ZzOUXpBtCqVh0omm1GhHbAPCMruLbE13IV3e0+YhWiP9ASsVVZxyM1QNJXP3AdvzrQ1swMzODrq4u9Pf3Ix5vXaIRFJrVabZqwr8QwBiDqqo46aST8JnPfAZr1qzBzTffjEcffRQAsH37dmSzWWSzWSiKgqOPPhqbNm2as41HHnkEJ510klOV7e7u9vTZct6fnZ11fNDDwGJl1QOi+qQJwHEj8MvbtR2dZy10UmfZaF/CGBt/fjP0b/8D6GGroX38b0E8JJbICvnU1JTnSSRItGLb1U5l1dxrwppyvzFRQqGoCrjFXcdicGBmgVdVJSqvZi7sMANKCBhlEJjbjNXcdjvjt9lKM1ZbaOAf2yoE7HEbhtHQDWGXyfDP4134aGYGWcXf/XSrvHlFl8bwpVNX4rpHXsJ/Pj6C0YKBjxy7FJp6oCIprbyioGtttfvdTddqmiby+Xykda31ekcYYw5ppJTiyCOPxJFHHukcn8nJSfT29jqvz2Qy2L59+5xt7N+/HwBw3XXXgXOOs846C2vWrAFgE/1rrrkGlFKcdtppOOqoowAA733ve3HTTTdBVVXE43FceOGF/u50HSySVQ+odaFKYtepC1lqBv0Uk/vpTVqp8Q2igaod1AtG8BN8/0sofeNykEw/tAsuB9Hq2zm5kcJOBjW06zzQytjNURPmqPv5rCp2FcvQDVeSFsTyPwEJVJvaLLgQ4BXNWAR2M1YzulbXV4a4i/OasSiFabg3Y7WDMHrlvBDwcYvihokufCg9g4M1//axXfsilVF85sRB9CdHcNszthfrZ14/CMuach6as9lsJDrt/bjXugVCRFXXWq+SXOtv9e7d1XMx5xwjIyM4//zzkcvlcP311+Piiy9GMpnE5ZdfjnQ6jdHRUdxwww0YHBxENpvFgw8+iI9//OM45JBD8Ktf/Qq33XYb3vve97a3ox6x8OvhHYT0Wg0bqqo6VhbtRn1Www8ZQGUWfKdjP90mt7AiScXMNPRrLwO4Be2zXwHpydR8bbUUIQppOpVxvPl8vukbRSs3FmvKgvHS/Ao3pRQxza5e6YZekzy+nJb/gfoVUBnnanFbQ68w5jmhSLj4rHYCMhmrVCqBUoZEPA5VUXwcD2k7VtcrZDStLqNp43Eo7EA9aIYT3DTRhT+X/KsRyUCAdkAJwV8dswQfPXYJfrczj8t+uRNTJQtCCM+xoAsNUtc6NTWFeDyObDbr2qTUSbRCViXS6TQmJiacn3O5nEPOJTKZDIaHh8EYQ39/P5YsWeI06snl/Ww2i1WrVmHXrl3I5/PYvXs3DjnkEADA0UcfjW3btrWzi01hkax6hNuNN8jseTeEqRlsFZqmzcmC77TOsnIpuprkBzk2YejQr78CYmQvtE9dDrr8oJqvbZcU+g3GGNLpNCilyOVyLcsjmpUB8AKHvmMuSSeQHeUMuq7bcal1UHoZEVWvEAAszp3GT4Uxp+Ja7z1RgmzGknNaIy2oZwSoxa2FuQSczCHgBoDv5lJ4pKD58lntyACq8ZbVfbjoDYN4fryIS+7Zjn35A9fi7OwsRkdHUSgU0NPTg76+Pt9DPzoBqWsdGxuLnK61UfW03vc+NDSE0dFRjI2NwTRNbNy4EcPDw3Nes3btWjz33HMA4DyU9Pf3o1AoOAWwfD6Pbdu2YdmyZUgkEigWi4584Nlnn8XSpUt92VcvWPiPSCHB7cYbJlmV2kq/oj7roZXJL4pG9cABd4N4PA5CSCgBDkIIGP9+HfjmJ6H+n4vBVq91fV1YUoRm0MiOKigI3e78r2QW0tzfNM2GJFUikAphB3xX53y2R0jSSmA/2MpkLO7iIDCvYksIEKCvq1e0k4zlBoLQCqvzYBNwA8QwKtwQOAzTwK3TCUxyijNTRU/hBrXgd4rR64d6kI4r+OqDu3DR3dtx2akH4bC+A81Wneq0DzqtSVaRo6RrZYy5Fgq8NJoxxvDOd74T3/rWt8A5x7p167B8+XLceeedGBoawvDwMFavXo3NmzfjqquuAqUU55xzDlKpFLZt24af/OQnjuxiw4YNjovAe97zHvzHf/wHCCFIJBJ43/veF8i+u2HRZ9UjquNWAVuTGYvFArVgqiQ0YS2nS2G918khakb1lejp6XE8U8NaWjdu/R7M234A5R3nQX3r+11f0wwpTKfTgUf5tuPNWwuEEHR3d2Nqaqru64QloD+vg5fLopXm/rY3p/dpaEy3G6xaHnOlzyqxm7kkr+NcQJQJUxg+qwCwr4tiug2lES1b7Nmk9cB4N6lJ7FQOVMZUVYWQrgMRAyt7nALNN2NFbb8UxqAoKoTgMEwTr9GKeFfPLJQWCatcuvb73rBzsoQv/2onpnWOi98wiGMGu1xfJxOkpBd0oVAIhFRK+74wH+qlXyshBPl8PnRda29vr+vqZDweRyKRmLPM/3JCLZ/Vzte6Fwg6IQMIS1tZDa/7pSiKL8vFQYBSip6eHhBCQiWq5sP3wrztB2BvOAPKOfOfOluRIvgZW1qNSn3x9PS0b0QV8DZuIQT0HQeIqt2kosG0TBimexNVPfh1lAgloJRBQIBbcokdYEwJxXLJL3AhYFoWBBdglEKhDBTE9ahGtTJhce6iBfXG4DtZFHeDaVkoloowTROqquJp0YPv5dMotsjvgqo4HpSO4eozD8bybhVXPLALv3zenSTKTvuRkRFwztHX14d0Ou27rrUT8aKyipzL5eboWsNqeGWMuX63f4lRq8AiWW0LQZFVTdNC01a6odF+RamByg2JRMJZniqVSqFNLtbTj8P492+CHvEaqB/61JzPbUdvHBRZrdYXh93pK4SAsdsAz9uuGpqqgRCCkl7qcNcxBQEB59acJCvOOSzLNoEnhIYiAfLrW+cQMLllywQogarF5hC+zvlNeEdrzVjhNVg1A6scMqDrJTxvavhuaQkMLdX0doJcHu9Pqvjq6UM4amkS1z+6Fz/eNFpX3lUoFDA6OopisejoWjXNP21up+YEaQspda3ZbDYUXWst94NFsrqIuqh1kfpJIqo7wjvVQFWPrEatgaoSstILwHFJCCu8ge/eDv2frgBZthLa+ZeCVFQW5DHTdb2lZDG/90Euz8discADGupdH+aICWvCgsJsc38ZydnW57XzXkpACAXKOs9aJTkhuP0fbJN+u5kpGLrnN82yHQRsR4VKwreQ0FQzVgcarJoBFwK6ruP5aR3fHInD6BlAV1eX5+s9aOvEpMpw6SkH4dRDe/BfT47ixsf2wuL1P69UKjmd9slkEtlsFolEou57GqGTZFUibHeEWt/rXypZXVizVAdR68Txa6KIku6Tc+5oxCSi2kAF2BN2MpkEY2weGQw6PhYARG4c+rVfBFQN2me+ApKy9V2UUnR1dTkV8laPmZ+V1VgshkQi0fHzzMpZ4Ps5NE2rae4fGki5w1bA0aR6gWxekn6nQOsm/WGDC8yJQlUUBcSy7PFH6NquB7dmLME5jIpmLL8TrIKCEAIjRRNXPifw18uAo/r6YBhGQ017GCROZQQXnLAc/UkVP/vzGMYLJv72DSsQV+oTatM0kcvlnHvHwMCAE2Xd7DlWq9moU6j0a5VVVj91re3YVr1csUhW24T0Wm315ImicX41OYoSka6GNNGXk2A1gtR7AoAoFVH65pcgpiYR+8I/gmZtKw95zPzoJvVjHyRx9ivprB1YMxbEXgFFUWAYhq9jafYwyWqqXUkVToNVM5B+p3NIq/CL9AkEsUgvfVYl4SOEAhAV3fdGUyEDnYZjzE/pHGP+oBKsgsKsIPjnlxjeU5jE69LUkYPV0t2HVXEkhODc1wwgm1Rw0x/24dL7duDSU1YiE29MITjnmJ6edjrts9ksSqUSZmZmPN83o1BZdYOu69B13WmElvKzdlO/FsnqfCyS1SZQz76q2ZOnshoYtk1QI8h9iqK1koTXSm+QTXCCW9C/9Q8QL26F9qnLQA89PJBj1i5ZTSQS0DTN16SzVsEsBrFXwOBGZ8/5cpc8yhGmfkCSVsA+P+0brGiqWhsW3K4W07LADaPc5BaDgIBhGJEkCbVgcQ6rVHKSsRhlsBgDj3CsZjVMAD+YTGLSmsX60hhUVZ0Tf1opDws7QfFNh/eiL6ng6w/vwcV3b8eX3ngQlnd706UKIRybq3g87hDxfD7fsAgSVbIqIYsAfqV+1SOkUT8WQWFRs9oE/HIEiLLuE7D3U1Z8o9hA1YyJfpCVVeOH3wH/02+hfuD/gB1zQmDuDTLWt1lIc38AviedNQtCCJKxJIwdBkqFUmDnvJejdIBI8sAmfc6rHARafWAKaFFg3hVT8TlWuWPdMAw7Azzmvfs+KpDNWJxzUEIDSMYKHj/PJ3DHdBy6bj/45nI5aJqGgYEBpFKpjsUwr1vZjSs3DKFgcFx893ZsGW3eQaRYLGJsbAz5fB6pVAr9/f2Ix+M1X79QCJpfutZaZPUvtaoKLJLVpuBGipqJXJV2SrKBKop5xJJIA4gckW4lWSmoBivz3tth3XMr2BlvQ+LsdwXq3tAK4a4kzn7aUbUCTdPQ092DqWenUMqXOqfpJASUSTsqK5QuccdBQLRGWuvFrbYDL9vlFR3rlNrBGgsuapMgmGSskPBwIYbvTyZhCPteMzU15URiZrNZp8EvbLwqm8DVZxyMhErxd/ftwO935VvajlyBigoR9xOVqV/d3d3o7+/3nPq1SFbnY5GstgmvldVKO6UoRGpWo9qJIGpPsZ3ynHWDtfFRGD/4NtgxJ6D3oxcGHn/bDFkNM1K2EUh5qV1VVYw8NQJjOni9c62jZFdT59tRuW8jAI2okKTVdhBglHn7nICmierN1mtE4uXu+1KxaCfXxONQVXVBVSmlNne2WATntjY3pmkLwjN3U0nFdyZSKPByYIUQmJmZwcjICIQQgXel18Jgj4arzzgYQ+kYvvrQLty9tXXZkxsR7+npiUTsabvQdR0TExPI5XKIxWKe/FoXyep8LPwzIUS0IgNws1OKGtyW1YNuTPKKKJEvAODbtkK/8SqwQ1+J7MVfhWFZLdlRNQMv30U7Pq5BIBaLIZ1Og3OO3HM5WJOd+d7InGpqbTsqBwE/QwohYJW77iml3kmr3+No8T2GYWC2WIQQolyl1EAjME80A9MyUSzaxvyapiIei4FFnBRtMxT8y3gXxq253s2WZTnVO+lt6rV65wcyCQVXbhjC0ctTuPGxvfjBEyNtFWIqibiu6+jt7UVvb2/kijutQBJyL36ttWQPiqJ0/B7YKUT7Co0Y3C6YWsvMkjwEkQzkF+otqwedztUI0gs0Ho+37Tnr10THR/dB/8bloOlepD9/NaZLeiiWS43Iars+rn5CSl0URcHk5CRm987CGg1xciUH/qWUgnispoYN2Yw1h7TW8AkN5vO9/9YNplOltKBp5SplxAlfNdyTsaIrc9hnUdww3o3dhn2cKwmNTFuamppy0pba9Tb1ioRK8Xcnr8SGw9L4yVNjuP7Rl2D6cL1JXWuxWARjrKll9Cijlq610i6y1nz/l1xZje6VGUF49VqVXpaFQqGz/pE14MWJoFWXAz/gtxeofKBoh8SJwgzMb34JMHTEv/CPmNXioSXj1CKrUfO+rXYdsKYtmHvCXUkgOGBHJQSHsEJaR295M51xEJinWW2xOmpaFkzLAivLPQjs5faFdEOVzViEEKiKgoQadwIqovWIA0xzgm9NdOHcdAFHpObfe0zTxOTkpC/eps2AUYLz1y3DQFLFDzeNYnzWwsVvGERSbb8xz7Isp7NeuiL4YQ8VBVT6tcowiHoOAn/JZHVhPQpHFJIMMcbmVJWiSFS9OhF0orJaefy8NlB5Qavd9BJUCPBvfQ3Wnh1Q/++lEMtW+DIur3Ajq804IgQNWaEnhDhSFz7LYezw10O1EQgIFMZco1KD+kQ/4ZuDgAcInyu2B+JDbeurqFcp3WAnYxmRb8YqCYJ/z6Xwx6JWk9RIb9PR0VFwztHf34+enp5AA1IIIXjvUVn83+OX4cm9M/i7e3dgfLb9h1VJ0JpZRl9oqNS1xsuacDddK2MsklLCMLDwv+WQUcsRQDYAzczMBP4U2wqqG6gaORGETVarj5+faMcRIJFIwPreDdCf+D3UD38a7IjX+Do2L6gkq604IgQJt8Y3YQjoL+o2WQzG034eGGXQNM1JlWq1JOb2trDdCyodBBRFAaPU90Po1mDlx15yYaeRlUolUEoWpGXUQmjG4gB+nIvjrglad4FHepuOjo5C13VkMhn09vbOSyj0ExsOy+DSk1diz7SOi+9+Ebsm23O9qV4VCzv2NExYluVUwgkhyGazmJ6exuTkJIDFyuoimkA1CVVV1blJRqEByA2tVOHCarAKo4GqlcqqHFfhlu+h+MufQ3nrB6CcdLrvY/MKKd2IiiOCbBys/t6EVSaqZjgEj4DYTT6UQi/7ar5cIIQdHSqEAKOsTFr9uSaD/naiUKX0I2o12s1YBP+TY7h1OgEviwiV3qZdXV0NvU3bwbErunDlhiGULIFL7tmOZ/a3Pl/Vk3BV2kN1osEsCEhCKhvNxsfH8f3vfx8//vGPsXXr1k4Pr2Mg9YjLnj17olUejAAUxV6ekw1UgF3Cp5RGromqMk2pWXLDGEMikUA+35p/XiPIpA+ZqRwkyYjH4xBCePK1leMihGDyvp+jdONVYK9/I9SP/23HlgMlMZQ6rU6iWu9cXfHQX9TB8wd+pyqq3f0egAaTMQaFKTDMAylLMyYw3c4qGSGghIBzXreiyigDF8FrS1/qopgpr9zSyjhXzsHbYGK/jvVgmh5YEo7H4iiVioGSWIUpUFQFgtskPIhzohKEEMQ0DUUf/axlMhahFKZhR7x2CqqiQAibUB8RM/C+ngJiTfBoxhhSqRQ0TQtMA7p3WseX79+JkRkTnz1xECcMdTe9jUwm4zm2WobZqKqKmZmZjs+XraC7u9tZnZAQQmDPnj24//77kcvlsH79egwPD89bMXzmmWdwyy23QAiB448/Hhs2bJi3/Y0bN+Kuu+4CIQSDg4M477zzAAAXXnghli9fDgDo7e3Fxz72Meez77zzTjz++OMghODEE0/EySefHNTuY3Bw0PVGu/Dr5iFDWrbE43GnAUhRlMgtQaRSqbaiXIOUAYTdgMY596TVqhzX7KY/Qb/p66CvWgv1w5/uCFGtJIZyeaiTkLGPcpmqEkIIGLuNOUTVgc/x7AQEqqqWG2P8DtYQThQrF3zezZuAgDJatncLt4rLIcC5ZY+BEiiknMLVAsHoRBXCtGxyZ8e52svQhmHACuhB1efTDkC0mrEIIQ7hf7qk4qZcF/4qM4Mu6m0kUgPqV0SoG5Z1216sVz64G1f/ejc++tolePOr+praRjPNsZUNZslk0mkwKxQKC2bVxW2pnxCCww47DMPDw9i6dSseeugh3H333Tj++OPxute9DrFYDJxz/OxnP8MnPvEJZDIZXHvttRgeHsayZcuc7YyMjOC+++7DBRdc4DgVSaiqiosuumjeeB577DFMTEzg85//PCilc94TJqKynrFgEIvF5ukFO23zVAlN05DJZNqOcg0i+ana1iisBrRGkobqcRV3vAD9ui+DDCyF9qnLQFRv2dd+oroRrpOo9HCtpXe2Ri1YE/PPNb/1ngpToGqqQxDmjbXN7Ts+qMKO6ay0lKKUgrJgY1o9jRECltOMZTeVNet12sklMzvOtdoyKojGHxKYY0cUZA7V+7fTYLhhvAujZpMpaS4a0HQ67VsBpieu4IrTDsLrVnbhX/+wH//vT/ubesBqxcmFc+7sE+fc930KEo0CAbLZLN7xjnfgk5/8JAzDwMMPPwwA2L59O7LZLLLZLBRFwdFHH41NmzbN2cYjjzyCk046CclkEoBdxW2E3/zmNzjzzDMdPuDlPUEg+t9cxDA7OzvvJhkFsho1G6NqVNsahYl630/1uMRUDvo1XwQohfaZK0C6wr0wK+Ulld9jp75PL1VwK2fB2Fuj0Uv4kwhFSLmaavFAHnKqSbUQApawySAltl+rJLKhos6hE7C78G27LgqFUluawBsLBObd+kn4BFZWKSkhUBQVCVW1ba/8qlKGsE+yGcswTSiMIRaLhShzmM/FxyyKGybsCuuQ2vy5Kq2UYrEYenp6AAD5fL7tay6mUFz8hhX41z/sw63PjGOsYOJTJyyDyoK/bxYKBRQKBd/3KShQSl3n+2oSm0wm8cY3vtH5eXJyEr29vc7PmUwG27dvn7ON/fv3AwCuu+46cM5x1llnYc2aNQDsqvQ111wDSilOO+00HHXUUQCA0dFRbNy4EZs2bUIqlcI73/lODAwM+LfDHrFIVptELdLQSXuTalmCX/CDIEkNka7rTkdj2HCrrLqNS+gl6Nd9GWJiDLFLrgZdsjzUcdbzl5X7EBZppZSiq6sLlmXVffjhMxz6rmAnfakTNwwPVlgtXIb1qr+EEIAAFreJK2MKhOhsZbUaAoDgHBwAJQSMMccVIVqPrO6Qca7EABRVRTweh2VZMEyzrfPdjwarZlDpORuGzAGEuJ67M5zg2+Nd+EBmBkfEWisMlEollEolKIqCrq4u9PT0tK0BZZTgr49bimxKxfceH8FE0cQl61egSwvOTqsSQexTEKh1zjPGmibY1fc9zjlGRkZw/vnnI5fL4frrr8fFF1+MZDKJyy+/HOl0GqOjo7jhhhswODiIbDYL0zShqio++9nP4oknnsAPf/hDfOpTn2p5/1pFNNauXwboRDxp0DZG7VSMpQ4qCgle1fshx5XP551xCc5h3PR18Oc3Q/vri0BXrQltfNUyBLfvMczzS7pHFAqFujZsvMShb9frEoJ2ZACUUMdpQ9d1T8SlmSMkyv9z3U6ZmAL2srUkf7xc2ZA+qEFHpTZ79LgQMMvjrecgwCPmHQrMjXOVllGa1kacKwlCtdoYlclYLMBkLFJH5mAA+M9cCo8W2pMwmaaJXC6H8fFxKIqCgYEBpwG1FRBC8K4j+/HpE5bj6f0FfOGeHRgt1L5vBfGA7rZPXV1dkfDTrSd5aGRblU6nMTEx4fycy+WcSrJEJpPB8PCwkwi2ZMkSjI6OOu8HgGw2i1WrVmHXrl3Oe2SV9aijjsKePXta38E2sEhWW0Atr9UwpQCpVAqpVCpQG6NWyWq13jIKVSi5jFxLz2v+9D9g/f7XUN7zUbDjTgptXIlEwklkqUcMwyCr1Q8/9eQawixbVDVKiGrRZ1VVVCiKAkM3All6b9TpTwkFt6x5566AcHxQAYAyFjBpbe1GzYWAWQ5GYJRCoQyVbq1Rr7hKyyjLKse5lnsFmkFnqOoBBO4520DmIADcMp3AXfl429LdypABwCY07YQMnPqKNC479SDsnzFw0d3bsT3n3igZZIpiJ4ITGqEeIW1EVoeGhjA6OoqxsTGYpomNGzdieHh4zmvWrl2L5557DgAcTW9/fz8KhYIz3+fzeWzbts1pzFq7dq1jmfXcc891RAIALFpXtQTVRUifTCZhGEbgJu2apiGZTGJ2dtaTFVM7SCQSsCzL89JDpW42SsEIhBD09vbCMAxXn1nz/v+B8f/+CeyNb4Z63idDecKWtmK6rnuqOqdSKZRKpcD0vlK768U9QnABfZsOXmj8EMIos5fRPd5wKKVQFbuBSsaQNoOiBeTqXIL1l/xpWS/W3DK//T6bOTSyvGoWe7oJCtQHzW/ZQYCUbbnujvXAqDC5j8fjTrNQFEGdOFcCw/T2AKMwBSCITOIPARznGMviMMz2Et6a+c6Ojet4Z88sFB+ntng8jlQq5XiCtnLve2G8iK88sAu6yfEai8fKAAAgAElEQVT5k1dg7dLUnL9rmoZ4PB5ak6ncJ9mgFXboSjweh6Io8ywjCSFYunQp9u7dW/f9Tz/9NG699VZwzrFu3TqcccYZuPPOOzE0NITh4WEIIXDbbbdh8+bNoJTi9NNPxzHHHINt27bhJz/5iVPJPvnkk3H88ccDsDW/3//+9zExMQFN0/Dud78bK1YEl+JYy7pqkay2AKmhq4Q0Vw5qwu8EEYzFYiCEeNqnoHSz7ULqQAkhc5ZIJKwn/wD9G5eBrj0W2gVfAgnhqTqZTEJV1aZsxYJ6GKrU7nohzUIIGDsNWJPexi276Rv5URIQu1OXAKZhtkz46pHVmkv+Vf6lrX42IdRZsnazvWoFe7opCj4u2BDYc8kDPQOYtbjTzBR1sipBCYGiqqAefE4VRQHKPqRRg8IYFFVtqxmr2e/slZqJc9MziPu8AKhp2hzP7GaLKCMzBr70q53YmzdwwQnLsf6QA0vXtchb0JA2fYwxzMzMhHZtSKJcPRcrioK+vj6nQerljFpkdVEG0ALClgF0Kgfey9Jz1OI/Jap1oG6VMr7jBeg3/D3IykOh/c0XAieq7aR1BSEDaEVTbO4zPRNVr5BRqZxzu4nK58Xb+tpUClpuSLK41dZnC8Fh8QrbK8ZAIhTRCRxwEJgtlkAIcXLIFwp4Wb88Z2ldVV2X1u3fRbPeYlpW6MlYW3UF/zLRhUnL33mkOtc+m8061kheMJBScfUZB+Pw/jiu+c0eXPObPXh+3CaHrdhW+QHDMJDL5ZDL5aBpWttaXa9oZFv1l4xFN4AW4EYWg7CvqkygyuVyvm7bCzjndW9krVQIw4CbTZb8fuTEJ8ZHULr2MpBkCrELvwwSTwQ2nspUrFY1vH6S1Xrm/vVgjpswR5qrUgnUHjcBgaLa1S9d130hqdUf5amaarVHUqvh2F7Jz6B2alMr1bOgqBYHwMuVeoUpoAqFpmowTaOlkIGwIX1OiXGgial6ad02zY/2vlicwyqVQAmFoipQPSZj2U4Hze/bSybDjeNd+HDvDJYq/pJA6Rwi57tmDPm7YgxfPu0g/OCJUdy1NYeHXpzC2qVJvO+YFXjNsuDm5kaoDE5IJpPIZrMolUqBpS7WI6tRkbPUgjxWsVisqYcVr1iUAbQA2axTjXQ67Zs9U+USRKeIoJQeVCdWSLJTLBYjtXRYb0m7q6sLs7Ozdmf3bAGlr34OYv9exP7u66BDrwhsTFJj3G5aVzOSjFqoJM3NptRY0xb0F5sfv6wwGubcijujzG6gqohK9QM6B8Z1b9pUznkoKVQEBIQSEGLrYQWvXemtxu4eitkAijm/iGcgKph9PB6HYRhQFRVCcBimGYnGyGZQvbRua0PN4KyjAoBMxpLkpFYyFiUEqqa13LeQIAIfzMzgFVqw95ZkMulImLwWNWZ0C/c8l8N/PzuBsYKJg9IxnLO6F6cc2gMtBF/WRvBDq1sL2WzWaWKrRHd3txPeEEXs27cPjz76qFNhv+CCC/DSSy+BEOJEuHrFogwgBPhR+fIrgcoPVFeLK5OMpqamIkNUvdhkyX0RlgX9hq9C7HoR2vlfCIyoUkrR3d0NTdN8Setqt7IqHRp0Xcf09HRTRIQXOYwd/kzIBASaqoFSCl3XfSdEQtRZ8gcpd/oTu5oaUlyqdBCQtlfNOAiE6TFgJ0sVHV/FeCzW0c7oZlG9tM4UBhKRZEGvcE/G0uZf+21aOs0Kgu9MdOHJYrASkEKhgNHRURSLRWQyGfT29kLT6ttppTSGtx/Rj5veehguPX0VNEZww+/24qO3Po8fbRrFZLGzFcZisYixsTEUCgV0dXWhv78fsVjMl23XmuOjLAOYmZnB7bffjqmpKbzqVa/C2NgYCCEoFAq49957ffucRRlAC6hnL9QqoppAJS8eL0lGnUClO0K9JW15PI3v3Qi+6Q9Q/+oCsLWvDWRMQTSbtUpW2z2vhFG2qOKtnY+VxJExBoUpMAzD/3QfUT5GNf5sp1CFV011g4AoH0db00oZAxzz/jqV4DnbCB7zlqZV1dPSdFQgxx8rk21FURbU+IHGyVitygAqYQL4wWQSk3wWb0gGO6e7GfLn8/m6BQ+FErzpiGV47QDDpn0F3P7MOH745Chu/vMYTj00jXPW9GJljz8ksRXoug5d18EYQyqVciwIZ2dnW75/1wsEiBpZlfekl156CePj47jkkkuwY8cOp9mcUup4tfqBRbLqI6p1kV4R1U56iZ6enoZJRmFDVnm9kjDOOYw7fwrr/v+B8r/eDeWUN/k+piA1xq2Q1XqJWJ4+0yoTVaO975wQ4jRQlXT/7daEEA6LowRQCSCHHKQ2tR1wwQGLlxu8qG175eIgUD1aUuP3zUAA88W9Ncao67qzNJ1Q43WXpqMIQ9chgAU7fsA9GcvyKZ1MAPjv6QRyFsWbu4peTou2IA35ZUKeJHiFQqFuOuRRy1I4alkKOydLuP2ZcfzqhUnc/VwOx63owtvW9OHIJYmOmfpX6lpTqRSy2SyKxWLTUqt2PFY7AXlPKhQKjkZ1dHQUmUwGADAxMeFEh/uBRbLaItzIQ7NktdMNVI2QSCRAKY0ciW6FhOmPPoDZ738LbN3JUN71Id/H1IxPaStohqxWRqW2el5JiypebK8KyRgDocRzAlUzqCSpzucB6FcBXQCzgkIXFJxbkXnIqoYQHJZl35ApoQCxO94bVX/bIa3NvqeymUlxmpnaj0MNGjIUYKGOvxqVFW9N00AogeDCl4rxrwsxTFkU704XoIbA+Tjn8xqXvBC8g9IxnH/8cvx/rx7AnVsn8IstOfzdfTuwqi+Ot67pw4lD3WA++BK3AqkpzefzSCQS6Ovrg2mayOfznpqjFhpZlUWAgw46COl0Gg888ADGx8fR19cHwzDw1FNPYc0a/5IgFxusWoSb12oikbCrRx5E76lUyvGPi9pJWNmoxBhzGpM6DbncIoXtXmE99zT0r10C5RWHQ/ncV0EaaKaaQbM+pa2iVrNbNdycEJqFEALmHhPmeOs3QdmEyLm95K0b/i4z1pMlEGrrYjnnmNUNzFhAkUfVxGgunEowATgX2N0NTw1WzeybBeDuRO+c3zXr2akwBYqqgHMO04img0A8FkepVHQ9Ngth/PWgKgqEACglDZuxmsErVBMfzBSQoOEfj3g8jq6uLofgWZaFvr4+jI2N1XxPyeS4f9skbn9mAnumdQwkFbxldR9OX5VGUu283lrTNKe6ODMzU5cbVBaHKkEpxcDAAPbt2xfoWFuBLNC98MIL+PnPf46JiQnnd69//etx8sknN9QoV2MxFMBnMMbmNR9omuaQu1oIM4GqWcinXMaYY80RVjJXI7RKwvi+PShdcSFIMoW+r92EAvVnMcHtWAUJQgi6u7trJrk0m4hVD+aoCeOl1r9v+SBnGAYgbPcI38iqqK8NVxQFTGEw9LkuA5YAZixgdgGRVkIJ9mZU5IUF4fH88rJvJgjuSWTm/K7VUADGmO0gAGFrkSPUee9lnyrHbxrGgnEO0FTVrrRalu/JWEsZx4d78+hlnblSJMGTK0n1yKoEFwJ/2J3H7c+M46n9s0iqFGesyuDNr+rFQKrzPsKyqKGqKmZmZlznaEnUq89ZVVWRTqddXQI6CUlK77nnHpx44olIpVJ48cUXwTl3fGlbsfOsRVYXZQAtopbXai1f0qg2UEnUalQSQgQWduAFlZXLZm3BRH4a+rVfBDhH/HN/DyXTB/gQ29eqT2k7qCcD8NPv1pq0WiaqsiFnXkSvH6tyDUiqrKZa3EKpOP8hkBGgRwG6UCatlu01GlXIZizDMkEocYILOBeoR0m9yAP8nHksy3ICUZqNQ40C5oxfUaASCtM0YEZ9/BVuAI2asZrFPovihvFu/FUmjxVq+FeJrusYHx9HPB5Hd3c3stlsTYInQQnB61Z243Uru7F1bBa3PzOOOzaP4783j+PEg3vwtjV9OKwvHuJezIVpmpicnASlFMlk0tWDljHmWsCKogSgEvfeey9Wr16NVCqFQw45JLDPWSSrPsKyLFerlyg3UEl9o0xVqiYEQYQdeEFl5bJZqyUAEIYO/bovQ4zuh3bxVcCS5W0L8GVTF4COPHBUj1921haLRV/8fXmBQ9/ZfAVURqUSQmDo8xOovFg01UWjaqqqgFHmqbJHAXQzIMVswlrgdtU1snAIKkAoBWO0KdIKl1cFsbtS/iTjUBeag4Dd/Kfb41dUxFXVWVqPImq5Abg1Yxmm2TTZmeIE357owrnpAl4Z69wxkISuMmSgUdz4K/sT+NxJK3Be3sDPnx3HPc9N4qEXpzC8NIm3re7DsStSTixy2OCcO7rWZDLp6Dvz+XxNUmpXzKNHViUvOOWUU7B7925ks1nE4/HA+MIiWW0RbhdLdRUy6g1UXkg05zx0r0WvdlS1IISA8W/fAN/yFNRPXAJ2+DCA9nxw2+2s9xOVRL7VRKxqcJ3bpv9NMhm7ImXf2C3u84TagKRSSqFqKizTalpSQ2ET1iSz9awzFmBGkrTKNiFAcA4L9vdvk1a7QavRQ1N1tdXVYcCnfZdxqAvVQYALAd3QQQxAUVUk4nGbABpGpMZPCKk7Hj/sx4qC4N9yKfzvngKOTYQ/58lmZc45pqenMT09jWQyif7+fk8hA0u6VHz42KV4z9qsEzJw5YO7sLJHwzmr+3DKoT2IKZ1bNZQuCLFYDOl0GpqmQVGUedaQUU6v0nUdW7Zswa5du7B7924MDg6ip6fH8T1funSpb5+1SFZbRKMbRFSjSIHmSHSYlVW/pBLmLd+F9cj9UN71ISjHn9L2mGRnfRTkG+0SeTcIU0DfpkM0UWKU1VQQ/6JS54zJpdO/EqqqOsECrXrAAjZRS1D7P0la23TqChxCCFurOMdBoAnSGkJVaaF34AvA0eorioJYPA5u8ejE0XoMBWjXfowD+PFUEpO8iFOTpcCtrSpBKZ1H0ioJXiaTcSqV9QoIMmTgLav78JvtU7h98zhufGwvfvDECM4+vBdvOjyDdLxzVEh60A4MDCCZTKKnpwfT09MoFApOb0zU+lskOOdYs2YNVq1ahX379mHHjh1OP042m8WnPvUp3z5rkaz6DCEEMpmMs3wRNTTrQhAWWfVLKmE+dA/MO34Itv5MKG9+T1tj8qOz3i8QYneJy0Qsv274ggvoO3QI3fv2ZFTqQqumNkKc2v/p5WasUgREraIOORBCwBI2abUjZFEOPWj8XR6o1zpba3OkNcaISj2lglgstuA68CW5UxiDpsUi2UzWCJUPD8x5ePDejHVXPo6cRfG27lmE5QxVj6RJgqeqKrq6upwu+kYhAycfmsb6Q3rw1P5yyMCmUdz8dOdDBggh4Jw7HrS5XA7f+c53cNxxx+HMM8/s+P2nFuLxOM4666x5v5+dnfU94XLRDaANqKrqLC3LqqCiKJieno7cyVXZFNTsTT6TyQQmY6is8rZL7q0//wn6NV8EXf1qaJ/5Cogy91lMPrE2mpz97Kz3A1KCAMDX70EIAWOXASvnjXASECiqAgiUKzPepoeYFvMUBlC3mkoOXG+G3l63s1cYAih02PZqV5qh5PnTCSglzo2v1jEqEIYHE2kAB/YrpmkohlS9CctBoFWHg0ZglELpcDOZH/umMAZFUSGE92asI2IG3p8uQAuBsPb29nqOHJe2hrFYzGnG8jJH7Jws4Y7N47j/hSkYXOC4FSm8bU1/6CEDsv+gcn7XdR2PP/44fvvb32JoaAjr169HNpud995nnnkGt9xyC4QQOP7447Fhw4Z5r9m4cSPuuusuEEIwODiI8847DwBw4YUXYvny5QDs4/2xj31szvtuvvlm/O53v8M//MM/1Bz7jh078PTTT8MwDKRSKaxevRqDg4MtHQdg0Q0gEMgO7cqqoFyejAo63RRUD35KJfiuF6H/05Ugyw+Cdv7fzSOqwIHvq94xiJJ8o1qC0N3d3VJCWi2Y+03PRFVWUw0zAHLRqJrK7E5z0zRhmeF9JyoB0grQtWBsr2TjlU1aKZ3fjGUQgq3qga5o2/ZIDXVeCMNBwE8dbjUO6EEXZjOZRGUzlqqpIGjcjPV0ScVNE134UGYGXQF7sTYz17WaInVQOoZPrluOD7x6AL/YMoE7yyEDh/XF8bY1fXj9UDeUEErJbs1VmqZh3bp1ePOb34xf/vKX+NGPfoRkMolTTz0Vhx56KAB7JeVnP/sZPvGJTyCTyeDaa6/F8PAwli1b5mxnZGQE9913Hy644AIkk8k5Xt2qquKiiy5yHZNc0neDXHHdsmULHnzwQeTzefT19WH79u246667cPrpp+P0009v97DMwSJZbQOMMfT09MzRflJKI0NW/Vpa9/tGJu2oSqWSL13sIjcG/drLgFjcrqgmU66vq5cwJivPfnXWtwv53VWmn7QSuVoL5rgJc3/jmyuBbe4vhAg8KtXlw6Gpmq2LLfmfgOUVHbW9EqIF6y93B4G9RMFTahKl8vxECIGqaeAWh2EYoLJpR4QTShuogwCZL3TwGwu9mUyi2WasHQbDNWPdOCFRwuuTemCktVFhwQ2tpkhl4gred9QA3nFEPx7YNoXbnhnHNb/Zg//cqOAtq3txxqpMoCEDtZwAWNmybu3atVi7di127NiB+++/Hw8//DDOPfdcbN++Hdls1qm4Hn300di0adMcsvrII4/gpJNOciJRu7u7G46Hc4477rgD5557Lp588smar3vggQcwNDQ0Rwrwwgsv4Be/+AVWrVrlkGo/sEhW2wCldF4Frp7XaliQy9gyh7ldNBsjWwvt2lG5QZSKKH3jSxD5KcS+8I+g/Utqv9aF7MkncUKIb5317aBe85tfZNXKWzB2N354keJ+s0W/RglX6tOgmsoYg6IqoVdT66EztlftkS7BOYqE4NlYF/bHU+BCgJgmGFNAmR3cUBk4QACA2GZjIizSGgDpC56qHoB7M1n75vy1QAhxta1qF67NWDWcEGY4wX0zcTw4E8exCR1vSJYwoERLwzs7O4vZ2Vlomoaenh4AQD6fn9dtX4mYQnHmKzM4fVXaCRn4jz+N4EdPjuHMVwYXMsAYcx1XNYkdGhrCBz/4Qaf4NDk5id7eA2l0mUwG27dvn7ON/fv3AwCuu+46cM5x1llnOTGopmnimmuuAaUUp512Go466igAwK9//WsMDw8jnU7XHff4+DhOO+0052chBF7xilc0bHprBYtktQ2USiW7I7oCnbB6qkQQy9h+kNVAuti5Bf3GqyC2Pw/t05eDHvLK+q+vshaTYyoUCnUnsLDQ6Lvzg6zyIoexvf4kUhmV6tdxISAOafVUTYV9fUWxRBWm7VW7m93PVDylpuxqqq6DKQpisTgERNlJofY1TUImrf46CARD6OrBrZmsHXP+WiBovuLYDGo1Y7k5IRgAHp3V8LtZDWtiBk5OlnCIaoXqGtAIMmRA6kJ7enqaDhm445kJ3LHZDho4aagHb13Th1X9/oUM1Kusuv2+XkGs+h7BOcfIyAjOP/985HI5XH/99bj44ouRTCZx+eWXO+lYN9xwAwYHB6GqKh5//HGcf/75NT9D3kdf+9rX4p577sGGDRuwZMkSxONxjIyMwDAMV31tO1gkq23AbcKQWqywEeQydjspVkEmdxn/dRP447+Deu7fgL1mXcPXc86drvoopYl5Telql6wKQ0B/sb7Vk1JZcfPruFQYfHqqphrNm5h3AmHYXrX6dRuE4Gk1iT1MczaiKCooo46cQ1UUgBC7cl7H1SF00gofHARIZ59zTMteRp9jzu9XnGtI+ybg4oRQoxlLwNazPl1ScbBqYX2yhCNjRsvOAUGkNsmVRjn/NxMy8NmTEjhvZgD/vbkcMrB9CsNLEnjbmn5fQgaaJasS6XQaExMTzs+5XM6pIktkMhkcfPDBYIyhv78fS5YswejoKIaGhpzKaTabxapVq7Br1y6oqorR0VFceeWVAOzz9sorr8Sll1467/PXrVuHXbt24f7773cauLds2YJ3vOMd6Ovra+lY1MIiWW0DtU7wMLsI5TI2pTSwZWxJ8ppFkMld5j23wbr3dihnvQPKhnM8vUcIgVgsFqk0sVQq5VkW0er3AADCEtC36xA12JTUq3HLv2qq89lCgCms5vGWlVwgutXURgjK9qqVQ7GfqXhKS6FEytrUciMTtzj0io5/ueSrKApUKbmoc2N0SCv817HXgkP6GIOmaY7/aaNrJcgGq2ZQqQdVVQUqpTCN9uJcg5IB1EMzzVjbDYbvTSbRxzjWJ0s4Nq4j1mStw89G0mrIkAGpa81msyiVSpiZmal7/g+kDoQM3Pt8Dv+92Q4ZWNGj4a1thgzIZshqNPJYHRoawujoKMbGxpBOp7Fx40ace+65c16zdu1a/OlPf8K6deuQz+cxMjKC/v5+FAoFJ4ggn89j27ZtOO2007Bs2TJcccUVzvsvuugiV6IK2PrXD33oQ3jiiScwMjKCVCqFt7/97XOkCX5hkawGgLAmcmlpFPQydrPShqCTu6w/PQLjv74Neuzrobzno57HlEwmIYSIRJpYpZWYV1lEq5VVIQSMnQb4rPvkrygKKPG5mgp7uVLq4JjCKipkB5Z1mVJ2GTAMcCtamrdWoBFAUzpje1WvmlqtTZUQwraPQpm0xhQFpmXBqtOMQnAgQSmsua5pB4EQGqyaARd2nKutB1WRUFWb7LWgyw1aBlAPzTghjFsUt00ncE8+jhOSOl6fKKGbeRt3kGRVQgjhhAzE4/GmQgbetqYfb35VH367Yxq3PTPmhAy86fAM3nR4LzJNhgzU+j4bVVYZY3jnO9+Jb33rW+CcY926dVi+fDnuvPNODA0NYXh4GKtXr8bmzZtx1VVXgVKKc845B6lUCtu2bcNPfvITp5Ftw4YNcxqz6o2VEILR0VE89dRTOO644/DqV7/a+btpmoGsLi/6rLaJSq9Vie7u7oaWGe2g0tKoUCgEPnEpiuL41zVC0NZP/IVnUbrqIpCVhyB2ydUgsca6IWnuL8X2+Xze93F5RWVDVz6fb+q70zQNjLGmvV+NPQbMsfk3E7vao8K0gll2d5MbMGaTUznhcWF3okeIV/gKq03bq509DDpp/M79TMUmLQXdpZpqms2sIBAoCivfJHm5g7r+54fpICAhyRKl1JUsKYyBUBqJ1RM3ENhxrkqZjDSjy5V9ElHw8pbNWIyxhrG0CoBjys1YSxs0YyUSts9p2ME6lSED+Xzekye5EMIJGfj97hmolOCNr0jjnNW9WJluHDJAKUUmk8H4+Pi8vy1ZsgRjY2ORkkXJHpbf/va3+OMf/4jzzz9/ji3kAw88gGKxiLPPPrul7S/6rAYEt2qXX93zbuhEqpKXFCspXg/S+omP7EXpm18C6ckg9ukvNSSq1VpQ6YnbKbTb0NVKZdUcNecRVRmVSggJJCq1njZVxoRWElZKqK8NKFFC0LZXBiH4s5rES27VVL0Vuy/h6BQZY4jFNLsaXodMSQcB++1RcRAIf6m8GUg5g2EYTetyCSF1G+PCRDPNWCaAx2Y1PDar4YiYgTckS3hFjWYsxlhHyLhhGJiYmHBCBrq7u53qay0QQrB2aQprl6awa7KEOzZP4P5tk7j7uRyOW5HCW9f0YXhJsubcXa96GoR21y+MjIzgoIMOmhNCwhhDsVgMZPVykawGAMuyfL/YvDbhBIF6ZDUMzSwAiJm87aVqGNAuuRokXVsTU8siy0+f0mYgK+Gc87YaupodvzVlwXhpbmWJUgpVUTsSlUoogaba5Eem71BKHeJsmC8PKYAbgrC92sc0PKUlXaqp1hxtaqtwlt4Zg6ppgBB2BbDGNd4J2yt3smSF9vl+YK4ut3Gcqy2vidbe1WzGMk3X/ZDNWAeVm7HWVjVjhSEDqIfqkIGBgQFPIQMr0zH8zbpl+MCrs/jFlhzu3DKBS+/bicP6Ynjr6j6ceHDPvJCBes1VnbZSrId0Oo3nn38euVwOmUzG+f3IyAhWrFjh++ctygDahPSirESry7VuqCRe+Xy+YyevW+RqWNZPwjSgX/NF8Gefgva3fw+25tU1X9soVjbI6Fg3+NlkxhhDIpHwJGPgBY7SCwealWQ1FQS2ZjTEaipgP2wxhcHQ3W/ChBJHO9uo0eflAAFvtlc7ehiMKhmA/9VUb7AfLOxGONOs7yAg0QnSqJTJteB29XWhVe0b6XI1TSsf/2jvVzOxtL2M4w3JEo4rN2NlMpmGRv5hI5FIIJVKwTAMzyubJZPjgW1TuH3zOHZP6cgm7ZCB0w/LIKXZvCGVSoFzPo8vaJqG7u5ujI2NBbI/7SKfz+Pmm2+GYRg46qijkE6n8dhjj2FmZgZvfetbnRjXZlFLBrBIVtuErAxVQnoEtquNrPQm9aKdCRKVJK+yUtjI9qNdCCFgfOdaWA/fC/Xjn4Ny4vzcY/z/7L1rnBzVee77rFqrqvo20z0XCUkQgQFjiUgCYRvJRps7CsTYTjY4PtsGkjhxTvBhB19iYzuJSew4xNkBBxJve5+dy44v+flgGbCJZSWWf2AbIoMB2YgggYVBEhKSZkaaS9/qttb5UL1qqnu6q29V3TWjfr7YaHp6qvpS9axnve//RfVY2aBa0F6ZVbmNZNt2aHVXErniH5dXT9zkMF8yISouSI5K7UeaKm+8DndgWy1MzKqUCChUgWM7sbpZRaUg7NXBLIW/CjAoTe3Va0Uq9aKEENc0tbCw6GUzFjDPoaSK4qZ+YWGjeqiqutxKagm4jbWWacYuXW2kZvXFfiWJwFtSJq4/PQ1n9kTfsYL1pOs60ml3SmKzIQNSXAg8fbiAh/adwHPHinjfRcvxzrUu2ml4eBjlcnnB8ySTSei6HouG4EZ67bXX8IMf/AAvvfQSTNPEeeedh+uuu64rbNXArEYkP3bH/29DQ0OYnZ3t6Dn9HNCozWCrGh4extzcXM/RT9a3vgb7ga+A/dpNUH/9prqPkVSEVjkj388AACAASURBVI4pm81GXkYRVV1xK58r4QgYLxkQhnDTVJUBApVavnA/R4FwfwBMZaAKbQk1tECkksZS6ppWx16yTVhS9bBXh7IKTMg0NY3XqNrTNDVQlYUFVZSmBAGpXplWTVXdznXH8bBRhCiw7e6wUf2QXMCxShMTVSgMo7zovg7tNGNlkgmsEbO4NG1gRcwmY0nJPg3GWNMhA37tnypj1bDqjW8dGRnB7OzsguQ5k8mAENI0nOiXDMOArjdvIGtXgwarHqobiH6UbNJuJIRANpuFaZo9W+nZj38f9gNfAb3karBfe++Cn/upCK3Wgvq7FsNW1HXFzWpWBa+wVA3hpamW3YFRbHogLaSpmgrHdjrfERBuuYJt2R6NwpHp4WK7S7eoetgrIPra1I4lhMsMrZSYuO9RMEGgd9ir+QYriY1SCAFjKhKqWpVUxl0SL2ZX6nLd3QqtbhNTnFVbX6wnEh6tYkEzlgCeKmt4qqxhjWbj0rSBc1Q7VpOx6g0ZkM1YQZ/t2slXQTWrcfIAfhmGgYceeghXXXUVRkZGcOjQITz22GMYHR3FtddeGwm6qvejlpaYwrrgUkqRzWahKAqmp6dj9SFNpVJgjKFUKvUMJeLsexbWP3weytoLoL7v9gUmLZlMep2a7aTPrZANOlEqlUI6nUY+nw+lVrmRGplVIQSswxZEQUBTNSiKO6kobKMqhAh8rdUKe9E0zdDMgG3bMMqGN9RB1Rbi4paSVAJkGTCeAHhGw8/0eSQVY+7ra4X4+nYvAdu2YBgGBAR0XQNT5xPgeiJwt4floIHQVWfKExcCpmXCKJdBCEEykajUhi4OySYmLjg4d6BpOnRNg0IW121cnke5XK4+jwbX5X0mw/97Mo37TmTw07LadWNi2JJDBiYnJwG406CGh4dbvs90Qgnol+S1//jx49i7dy/Gx8cxPT2NBx98EEIIHDp0CDt27Ijkbw+S1RDUCF/VaoIXNZu0U/lHuJbL5Z5tNfIjh2De92mQ5Suh/fc/BmHzZRZy4ECn6WXYRIAox9y2I/u4DcwBquZCukNvKulFmtpEju3AsZ35aUZCwLKtwPGxi1XKsAJtFcOlTGCjU8CucgJPWmkUrD6nqU3kVED3iu89sgOGTURFEAiaYCWxUXYNbsmywx2KEaX8E6W8ca6LsDFRnoe/qcy2rbrYscM2xb/MpDCicFySMnBx0kQiRj5dlu0VCgUkEgmMjo7Ctu2mjWKdDgToh+T98/jx4xgbGwMAvPzyywCAm2++Gc8++yweeeSRSP72wKxGJJngBX3Y4mJ0auUH10scla7rkSSStRKz0zDv+ROAMmgf+QxIesj7WRimvpsSDb96hexqRWJWQJlWwEn4o1KBJrWpZH4whmn0pnaydpqRrMmNe3d0S2IAW8lAs/OEkRXDKbx7XMMV0yfx+BzFDwsa5ni880DuODAdB4pCoaoaALjbvQHvEQnTtLYwwaoWt6TrOgTnsKJY7EUk/zhXprLAiVJxFuccRmUyllppxmKU1T2Pk1zBv+aT2FlIYHPSxCUpA9kWJ2P1SjLgkR39jYYMLDbGqgx6EokEFEXB9773PRw+fBjr168HABw7dsxrPgtbA7MaguqldZK1Wu/DVs8MxkWNRrhyzhc0koUtYRow/uZPIWZOQv/4X0FZ5o5+C9PUy8S7G/UK2dWKVFtF+Wg59FGpAJqnqbQyAcu24di9v6hyzmEa5jyRg1RM6yJltSpZBWwlA2GygYphaGgIhmHg5MmTUAFcnnGwJW3imZKKRwoaJu0YRUt1xLkD03TcOlvGgBYIAp5pRedlVu0OW62bVMaQINAoMZZjjRsPSVgc4kLAdhwIASgKcc+jQTNWWRA8WtTxw6KOjQl3MtYqNV7vl2ma7rjpyo5g7ZCBII8A9Jag0Yrkcb3hDW/A7Owsnn32WZx99tl4y1veAtu2cezYMZx11lnR/O0BDaB71WOt6roOQogHP/f/ez0z2G81G+HaDuOzEwnOYX7hL8CffhzabX8M+qZLqkx9WONrG70vrUjisfpJaZA0A8YYEkoC03umYZnh1zc3S1O1SloWiUnuUERx565LpFLcUomGqpOmptNpaJpWt0tYigvgPw2GR/IaDlm07mPiJg9NprTO0+3EtCb0RFcd83ElCCiEQNW0pqU2BO5ihzHW9jjXfotRBkLcsgYCgFbOo1Ezll9v0GxcmjJwrhavZiwpRVGQSqWQTCZRKpW88KR2lDljDCMjI5iYmOjTkTYX5xzFYtFDRp48eRLHjh3DihUrqoYEtKsBDSBC1bsI1CaRkrvZTud6r5RIJKDreiBqKarGJCn7/n8Af+oxqP/t90DfdElk6WWnCXE7eKwoJYRwDTwnmPrpFLjZ29pUSimYymBb8TODEgLvoX5UFntWa7M0NfB3CbA+YWOdbuMlk+LRgoYXjHhf0mVnOzyCAKtQHhyEShCo02DVjuJLEGhtjKyAa/Ys264Z5xr/EgfiO8W6k7ECJny9YDK8YDKsZA4uSxm4IGGBxsi0cs6Rz+eRz+eRSqUwNDQEy7JQLperrqdxLAGolQy4pEZGRjAy0niyZLeK95VtEctxHG8OfVTczW4ltyYsy2q6vR7lqFL7+/8K+7vfBL36HVCvu8FLL6Mw9e2eRyd4rKikqioYYzANEzP/ORO6UW01TTUMozsnELE8Q2S75k9P6PFjtXaYptYTIcC5uoNz9RIOWwoezev4WZnF5lTryyUI2DYBZRS6rsHhFexVQDOWNK3o0WQsSRAgFsBUFclE423pXoi05lWrVD3ONb4lDlKEKOB84X2yXjNWo8lYr9kUX59NYUee45KUiYuTBpIxq5gpFoteGVUulwPnHC+//DKy2ayXiA80r4FZDUGNklWJo4qKu9mNOmlWisKsOj97EtZX/ieUCzdh6HduRzKVjjS9bCchjssiw9/MZRgG8vvz4KVwbjQEpCmOirLKBKwYpqmBiimrtZs0tZlOVzneO1LCr9gEPyjo+EkpfqifagmPIEApha5pbgIYsG0dFUEg+Chdg2dZVmUB1JgRGqVcs97Z3/MaEyslDmrMShykmhlyfzMWq6DyGjWVTXMF38kn8P2CjouTJrakDORi1IxFKcXc3BwKhQIYY/je976HiYkJbN26FRs2bOj34TVV1Duufg1qVkOSpmne/5fmQtM0TE9Px6qBqhZH1Y7Cnv7ED+yH8dk/hLLylzB+15fgMDVyjmsrU6D8iXOvuLKNVDtyVzmhoHSkFNpWXhD2yT+dzbTM+KSSXUgab7kl2tOknAFsFQMd7j5NbVVzDsFjRQ3/UVBRFjHaDw2QotDK5DXh1lq2cP2sNa2JRKKjuvR2xCgFYyqE6B1BwF/P2a1kiYNClZiUOLhK6DqMNqay1U74Ckq9FQAXVpqxTo9BM9b4+LjHZ5WamZnBj3/8Y+zZswcXX3wxNm3atGBS1N69e/HAAw9ACIHNmzfj6qsXjiHfvXs3duzYAUIIVq1ahVtuuQUA8KEPfQgrV64E4G7dv//97wcAfOUrX8HBgwdBKcXq1avx7ne/u6oXx3EcWJbl7RhHpUHNao/kNxeU0tgY1TAIBHIVFcY5iRMTMO65E0pmGGOfugdFh8MxozeGzcoA4sK89TdzyfIDe8qGOC7ab3Wupya1qYwxUFYZlbpIu+vrqV+s1nppqpwJ3m2aGqQhKnDdkIEr0gZ+XNQWB/aKOzCNynYvYwAqBAHeAkGgR0kr0B+CQCdlAI0UtxIHT21OGJRlP62k3hzAM2UNz5Q1vL7SjHVeH5ux6t2Lstks3vve9+Lo0aP44Q9/iHvvvRdr167FpZdeimw2C845tm3bhltvvRW5XA733HMP1q1bhxUrVnjPMTExgZ07d+L2229HKpWqGtmqqio+9rGPLfi7b3zjG3HTTe5I8y9/+cvYtWsXtmzZ4v187969+P73v4/bb78dADA5OYnDhw/jggsuAOCWNczMzHhGOGzFrIpj8YoQguHhYWiahpmZGRiG0dOIPEi6rnvlCHNzcx2bzbAYpaJUgPn5O0HMMjKf+EvkqdpTY1jvAsEY8y4EMzMzfTWq8v0yDAP5fB5CCDizDqwjFiDcrfuOJdw0teEWKyHQdA1EIe5neAkZVb8cxx1eYDs2VFWFFjBBpxsRRsBWM6i/pHpGNZ1OY2hoCDMzMz1L7hMKcHnGxCeX53FjtozxmM5b94tzF8dkWSYoVaDr+gLqSq0IIWC0txmMwznKhgHTdM1SIpEAa3KcnaqbMoBGkiUOpcrgFz2RcKfgxbGdvokWTMYK4IP/3GT4h+k0Pn8ig6dKKuweO3RCSMN7sVxMX3nllfjIRz6ClStX4itf+QoMw8CBAwcwPj6O8fFxMMawceNG7Nmzp+r3pdFMpVIAgKGhoXp/pkrnn3++u+gjBGeeeeaCXdSJiYkqhurzzz+Pxx9/3Pvvn/3sZ3jggQdaPv92NUhWQ5JEUfhrLSVrtV/patjNQWEwSuE4cL70OfDDB5D4yJ/DWraqu+frUoQQpFIpr3aon0l4o/eLlzisQ+7nqqsbVatpqhkMb19K4g6H6UTDalVyCtiK3qepQWIE2JSy8OaktWiwV17DXGW7V2cMtuPAWbBtTTzclFnp5O+G1dquJEHAZZ2qSKoqrNC310OMVuuonc77OKudZqyjNsX9syn8W6UZa1PSRFKJ/jMT1PHv38GklOJNb3oT3vSmNwFwywT8Xfe5XA4HDhyo+v3jx48DAO69915wznHttddi7dq1ANz3+O6774aiKLjqqqsW1MY6joOnnnoKv/7rv77gOZctW+b994kTJ6rS3KmpKYyOjrb1GrSjgVkNSXNzcwtW/f1MVqNoDur2fBhjsL/2RVg/fRLq+z4I8ssbQzmudiVvXrJ+t1QqLeDc9VqJRAKJRGJBc5kwBcxXzPltagG0Haw2MalEIdBUt7HFKMd3lGeUkimex2plnbNaCSOgq2jd2tR+p/ZSfuzV/gr26sWYY69QGd1qg4AxWmmYc5uxFIXMD6hw5r8//SAIiAi318MsAwhSO2YvTJGQT7BuM1aDBcQMV7C90oz15qRb1zoSYTNWI7PaCbaq3rj3iYkJ3HbbbZiensZ9992HO+64A6lUCnfeeSey2SwmJyfxhS98AatWrcL4+Lj3u9/4xjdw9tln45xzzql6zqmpKVx88cXef8/OzmLNmjXef09OTuKMM85o67jbUcyvTotbkgjQS8nmoCgIBJ2ej6y/LDzwVZT+/Vtgb/+/wC67NtRja0dCCG9bpN84Kpmm2raN6enpqp8Jp2JUa/an2ikDCMRR4dRMU4NUj9XazoSuOKapQSIEeL3u4PUV7NUjeR3PLgrslWs4KGNIJHQIuNOCGjVjLRmCQARlAEFqp/M+DEk6Sdjiovp7HbSAMATBY0UdCSKwNRPd4r1Ts5rNZquuJdPT0xgeHq56TC6Xw5lnnglKKcbGxrB8+XJMTk5i9erVyGazANzmrnPPPRevvvqqZ1Z37NiBfD6P973vfQv+bqlUws6dO/HCCy9gZGQEe/fuRS6Xw6uvvorTTjsNExMTuOiiizp6LVrRwKyGpHpfMMdxqigBUSudToNSGllzUCdAfQnTn/7+d1D66hdBN18O9l9vCf3Y2jkexhiKxWLk3cLNFJR+CyFgHjTBjeqbr0CLnNhmo1IriYnDnVM2TQ1Su6zWxZCmNtPpKsdNIyVMLhLsFVEUMEq96UyqqrqNiE0IAn1pxqrdXu+QIEAiLgNoJL/Zi3Kca9TJcTvNWNmISwEopXUH3jQzq6tXr8bk5CSmpqaQzWaxe/du3HzzzVWPWb9+PZ555hls2rQJ+XweExMTGBsbQ7FYhKZpYIwhn8/j5ZdfxlVXXQXArXPdt28fPvCBD9TdQb3qqqswNTWFcrmM2dlZnHPOOTh8+LBXgnDkyBGcdtpp3bwkgRqgq0KSH/Pj/7dmmKQw5N/ObjaGrxspioJ0Ol3VWRj0WFl/OffTn8D43B1QXncetI/dBaL2zsDXOx7ABdv3C9XiT79LpdKCnwshYB224JxceMFSiAJKKSy7MYe2aZqqMlCFwrTMyLvgl4yIiw2ijC5gtQalqf1Gn3WjOGOvmKpCURRYNYgjt/bYvQ7bdmu7Bb00rVK0slgE2iMI9ALJ1Yqqx7lyl6gRgstklIEopKdTAj0EWU197m/nClirR3ePyOVyyOfzC+5DmUwGhJDA++zzzz+PBx98EJxzbNq0CVu3bsX27duxevVqrFu3DkIIPPTQQ9i3bx8URcE111yDiy66CC+//DLuv/9+tzRGCFx22WXYvHkzAODDH/4wRkZGPEzWhg0bcO21C3dAJVFnZmYGpVIJ5XIZhmGgUCjgggsu6Ho3uRG6amBWQ1S9FDWXyy3Y3g1LfhyV7BqPWq2wVv2JoXn4IIxPfxAkPQT9U58HyQwH/m4UkvWg8sKQTCbhOE6oY1xbVStoLOu4BftY/Yuk7Haua1ZbSVM1NfYjSOMuyWoVigCWAyQzf22NmpvaD5U5YoO9IooCTVXnFwwBj2OMgZAK9qqF96KXzVhSEtBPFMWtx21ynHExq34xSsFUFYJ3z5tVGYMQiKzMIEi19bm3ZacjZbGOjY3hxIkTCz5z2Ww2Foxvv4QQ2LdvH7Zt2wbANbLvfOc7I/lbA87qEpPcXi8Wiz01XUFb0LX1siI/C/PuPwEAaB/5TM+Nqh/u718wRDk6tpEYY0in0zAMI9DsO9NOQ6MKoGGDVbM0Va0kUW5d32AN2o0c24HICKTPTCM9nIbjOCiXy8hkMrGtTe1GEnu1JW3i6ZKKRwsaJu3eN45KgL3ZAjBecA7LND2CgNqQIDAvfzNWvwkCTsjb61EqTN4sIaQnwxXqqbY+9+zlo6BGMTLTqChK3c8ZpTR2C5KjR4/i4YcfxsaNGzE0NISnnnoKTz75JC6++OKeNZIPzGqIqmeCJO4prItfnGbV+1WbGArThHnvn0GcOA7tjs9BOa23iCqZ7tZLMHvd+CZriZuhsZyCA/PV5guPqgarNtLUKEtEThURlYCtYlCGFJiOCfOkieHhYS8N6Uda3yv5sVfPlRkeKWh4tQfYK0IIVE1zMWPtfoarCAL+kbsOGq3u4kAQSMgGoICxs3GTwzkcw5gf59piWlwlQvq+mOZCwDFNmNNzSKdTWLZsmUeMCfO9aPRcbmlFvHZlDh48iHQ6jeuvvx6A28z43HPP4eKLL+7Z53NgVkNUI7NKKQ1l2zUOs+przbd/fKtMDAXnsP7+bvAX/xPqBz4J+vrze3Z8MsEMoiH0KlltB43FDQ7rgNV0MpWA8JLVwDSVuH+fEALTaH104UCNpeQqU6jowtrU2dlZ77NHCOn5jkcvpRBgQ9LG+kT02CvGmNuIYlktjV1tLAHbtmDbAGUMuq7B4bxSe9zYtHqjjfpBEKCuuZYNQM12T+Kiemlxq81YSo9pB400TDmE4Mjn88jn80ilUhgbG4NpmigUCl2byaBJkJ2gq6LW8ePHq/BWuq57AwJ6FfwMzGrEciqsum7UigHrlfwjVxuNb7Uf+DKcJ34A9hvvA9t0ac+OrdUEM+pti3ZH2wq7gqhqo/U6aAGkUGWeOdkicmmgxvKnqVL1Ov1t28bMzAwopUin00in0ygWi0s20fZjr161FDwaIvbKn6aG/fo5lW12xTdy17YaNwj1A3sFuHWbtmNXphnpqFTV9uivd6+qtLgy2ctxHI/eUFch7kJ2o1oSQLHolgPouo5cLgfOXSPbaSNYI0Mq761xeA38KhQKeOmll/Cd73wH6XQaP/nJT7Bs2TJMTEyAc45MJlM13SoKDcxqiKr3AevGGMVpupKUEAKapkHX9brpkf3od2E//HXQy68D+9V39eSY2oX7R5msapqGVCrVcrImuIB5wIQwW7s4CSFglA1vS5NXoOhCuImrViEtDNLUcKSMVDr966SpjWpTHcfB7OysR8+QpjVudWhh6owK9mrCJvhhl9gryhhYKGlqsLjjwHQcKAqFqmqQ/Nag62w/sFeO48BxHDDKoGoqErru1rXGLH1rJAHAsm1Ytj2fFnMO2+qCNxuxhpX6nwHDMGAYBlRVRSaTgaIoyOfzbS+owhwI0AutWbMGyWTS67nIZDIoFov41re+BUIISqUS3vGOd2D16tWRHcPArIaoRqxViYJoR3GariQluyU553XrZZ09T8P657+Fsv6NUG+5LfKt9nYTTCkhROjJqhx8IIRouZZYCAHrVQu8GHzcEpTtf855KDqFpmueAbetxXMTi7NaTVODxDnH3Nyct+gcHR1FuVxGqVRasguJZUzghmwZWzMGHitqeLygwWj1VEllkpoIP00NEucOTNMBURSojAGV7xHnjd9jz7Sid81YQnCP5MFUFjmgPwrVpsVxHec6TIOPx7IsnDx50ttFGRoa8tLXVrTYzOqFF16IDRs2eMGI4ziYm5vD9PS097+5XC7SYxiY1RAVRrIqTQ/Q/+lKfkn8k2madbcp+KGXYf7dZ0FOPxPa//NJkIjrWNpNMP0KO1mVZIbaUanNZB+14cy0YHoEb7j75zgOqEIh75yUUnDB+96ksJjVSZoaJCEECoUCisUikskkRkZGYBgGisVibL7fYWuIClw3ZOCKtNES9opSFwfWT+Mi5MhdSRCQ08sCzEMvCQKkUs/JBe8JoD9KybTYj4uy7eY1+71SqwMB5C6KDE5abcailNa9V8TVrAJuWHX48GEcOnQIiqJg+fLleN3rXtezwUcDsxqiujWrnZqeKFWLf1IrI/f8EienYN7zKSCRhP7hT4Mko6tdkVur7SSYUR5Lp2QGe8qGPdkkEWnS6S95n5ZlgTvuDV7Wq0Kg6ZbmQNWql6ZmMhmoqhrKFCohhJe+SNNqmiaKxeKSfZ8WYK/yGiYd3/WwkqYKwWEYJuLgVrzpZRWmsa6zeBAEauo53ZpQC6QyjamlmtCYyY+Lkng9xljfOdCNygAaSQixoBnLsqyGPO3FlqxOT0/jH//xH3HixAmsWuWSfUzTRDabxdatW3H66adHfgwDs9oDNUvx/KYnqgECnage/qnWfItyCcbnPwVRzEP/5F+DjC6L7HjiZOZrBw20I2fOgXUk+PiDklG3+cQdLWkYRtX9kzscpmO6F33V/Xq7W5pL0wyFpbDT1GYqlUoolUrQdR3ZbBaO44TSZRxX1cNeHeEaVMZckHzAlnvfJCRBgIAx6hIEKjXiQaY1KoKAWytb5zCx+GpCa8XlmFzhXt+SEt1lWX1ZvjQrAwhSK81YQWY1bhSR2dlZbNu2DWNjY/jN3/xN8MoOxLFjx7Br1y587Wtfw+23395RuWM7GpjVkFVvizlolRsHHFWtgugDfrMquAPzi38JcfBlaB/6UyhnnhPJ8URh5jtNHmSNkm3bHR0LL3FYBwOMapM0lTF35Kc/Ta37dziHaZheUkGIO5Ul6HdORUWdpjaTbNjQNA1DQ0NeyUBcrgVhSyHABSkHW05T8UJJ4OFjRfyc94553JnEfI04dU0r577GxjqKgiDQCjB/sdSE1pMsc/DQXYxBTyQ8dFcvjXerZQBB6qQZK47J6sGDBzEzM4MPfvCDVZiq008/HevXr8c//dM/4ZFHHqk7mjVMDcxqDyRZq/4PYZxwVFKt0AekGRdCwPrql8B/+gTU3/zvoBdcHMkxRWXm/Qiudo8laFRqkIRVQVTVS02bmFSiuNtk9dLUIMlVMFFc5iFhpGkd3qmiXqepQTJNE6Zpeo2VhJBY7CCELclnLBQKWGkZ+L1RhI69ilLztZYUqqYBQrjb7r0gCLSBdapXE2rZVry/9zXnJxcITBpv0f0411bVTbJaq3rNWI1KA+NoVo8ePYpcLufhEhljXpOVqqpYu3Yt9u3bF/lxDMxqyKqXrMqLhuM4scRRAe3RBwghcP7tQTjffxjsuhvArnxb6MdTO7o1bLXTZBXGsQinYlTthTebZrBvL001O09IBBfzzSMqA5PNI6cgh7XfaWqQLMuqYrVKRMxiZ7USQjA0NARCCE6ePFllSsLEXvVKnDswjYoZZAwAqdSIR0cQIEDbJb21I0TjTBBQCKk7orXuONcIF9xJIqBFALKRzViMMYyMjHjNWP6a9XYDlF6IVnjEjuNUTddizLWPx48fx/Bw9KPUez/geYkrqMlK0zRks1nYtt0WailKyZtIIpHAzMxMSzfF0q5HYH39f0N50xaw3/id0I8plUohk8kgn8+jVCqF/vxA641vYRyLEALmQRO8XPN+i0ptaiM+tkKg6zoIITDKRiifFyEELNOq3MAU6Andu+icClJGFKjnqp5RZYxhdHQUjuPg5MmTsUk15I1tZmYGmqZhdHQUiUSi34fVkTRN8wgIQY2IEnv1R8vyuCJtQo9+yFzXkjsXlmVWMHI6lCYkFALXmLVLJJHb5B0dp3AXq4ZhQFHcmlCVMcTqJW6SHDuco2wYME0LlFIkEgkwGv61KxtiqlpPiqLAMAwPqP/kk0/i29/+Nqanp2Nz/fFrw4YNOHr0KL7zne8AcM2rLAfYs2cPjh49ite//vWRHwcJ+nAcOXIk5uvb+EnWCPolMUu2bYc+X7gbyYaldvBP/KUXYPzlx6CsPhvaHX8JooVXVM0YQyaTQblcjhygnkwm4ThOw/OWZRqGYXR1LEII2Eds2CfsBf8edZraksj8SEvHdtzEJR4fz1BFVAJ2OoOSWZimzs7OxvIm4ZfckdF13WvOirskho9S2tHivMThYa/yAdirWKmCvaKKAttx4LRQutRq0ppIJEK7LhK433uZlMWBIKDrOizTbLk2VaK75PZ0WOiu8zQbvzsSHds8mUxCURRvB5Nzjv379+PRRx9FOp3GJZdcgrPOOmvB7+3duxcPPPAAhBDYvHkzrr766gWP2b17N3bs2AFCCFatWoVbbrkFAPChD30IK1euBACMjIzg/e9/PwBgPGgaOAAAIABJREFUamoK//zP/4xisYgzzjgDN910U5V/kTuQzz33HLZt2wYhBM466yyvXGr//v3YvHkzLr/88tAarFatWlX3y37qRCo9Uu0XXhpC2REYB3WKXOITR2H8zZ1QRsaQ+NCfQYRkVP2lEb1KnBslq2GXaTiTTrVRbVKbKmvMHO7AKPdg61e4tADbsr2pWC6mZ+mYVjpKQU+jC2pTS6VSbL6TzVTLah0dHY01q1VVVQ+UPjc319FzJBXgCh/26ge12Ks4qjK61YYkCOgtEQQix17VHibiRxBwG8ha/9tRobvaxVa1q9pR2Yqi4LzzzsOFF16IV199Fd/+9rcxNzeHyy67DOvWrfNKA7Zt24Zbb70VuVwO99xzD9atW4cVK1Z4zzMxMYGdO3fi9ttvRyqVqvreqaqKj33sYwuO5eGHH8bll1+Oiy66CPfffz9+/OMfY8uWLd7PZfq/bt06nH766XjmmWfw2muv4fjx42CM4frrr8cb3/jGKF6mBRqY1Yjk7xqfmZnB0NBQvw8JQOcNS6IwB/PuPwEcG8Of+CvwkbFQmj9k6tzrSV31pliFPTXMmXFgHZ1/jZqmqSoDVShMq0ETVsTyGhrqjXJdhApKU/tdm9qpFgOrNZPJgDGG6enpUI5JJcDmlIWLfdirV61FRBBgzMVeVQgCdflTiIYg0IoWM0EACDLenTVjZWm0rzyltG65HaUUZ555Jn7rt34LU1NTePTRR/Hv//7veNe73gXOOcbHxzE+Pg4A2LhxI/bs2VNlVnft2oUtW7YglUoBQFPPIYTAz3/+c9x8880AgDe/+c3YsWNHlVn1a2RkBFdddZV33aRNyl3C1sCshiwhRN2u8bDHe7arbpqEhG3BvO8zEBNHoX30L0BWngGlSwPTyXjSMOU3q/6xrWEdCy9wmIcqJQatpKmaCsd2YtFIUzvKVV74F5NpXQppajPFjdUa9WusEGBD0sb6hI39JsUjBR0/N+JuWgHHtuHYNpRKo4qQTNFeEATaOc7FSBCoUbXxrjRjWVbdxq1G6kWy2oixKq//Y2NjuOGGG1AoFEAIwYsvvoiRkRHvsblcDgcOHKj6/ePHjwMA7r33XnDOce2112Lt2rUA3Gv63XffDUVRcNVVV2HDhg0oFApIJpOe6czlci15g16bVKmBWY1AnPPY4KgAt0lIVdWOkEtCCFj/8Dfg+56F+n9/DHTNeg/F1aniAPfnnIMQ0tXY1obPbXCYB8x5kxpwt1FVFUQhMM3+pKlBcmwHju143aBCCFi2Fbvj9ItolU7/JZSmNpOf1To8PAzOec9Zrb18jQkBXq87eL1exCFLwQ8WCfaKOw5MaQaZa6RsOzjB9BMEeqV+EAQ6IR0EyTPeRIGqMqhEcQc8tPDZDBNbVU+NOv7rmdh0uvE0yNoGPc45JiYmcNttt2F6ehr33Xcf7rjjDqRSKdx5553IZrOYnJzEF77wBaxatapuw2aYY8jD1sCsRqByuVz3g9RrLIXc1i6Xyx2bZ/uhr8H5j++D/debwd56JQD3XGpHrraibsaTRiF5DmEei7DnEVWtpqmWEW+Wpnfhj/ko11MhTQ1SP1it/WTTAsAvLUrsFYdpGiCVZlxGKtirBkZKLqol+rBX101JEJCNTEk1EWojk1/dkA6CxAWHYZqu8WYqkqoKq3IOjRTGQIAgNTKEQYzVbDZb9f2anp5egIvK5XI488wzQSnF2NgYli9fjsnJSaxevRrZbBYAMD4+jnPPPRevvvoqLrjgApRKJTiOG0jUe844KebV6otT9S4mcnulF5Jb7IlEArOzsx13kNqP7YT90FdBt1wD9o73eP/eKvbJr0Qi4TVc9JuIoOu6Ny0on8+HZ1S5gHnABDd44+ckgKqpYCqDaZiLalIRd7h3zExl0HSt7+UtgJumqmepYKvmAf+ZTAZDQ0OYmZlZFJ3zYUqyWufm5ry61ihGIUrA+czMDIrFYujP344WI/ZKcA6rssCgigJd1xfsWFHGoGmau5Vt2x1jr7o6zkojk7yPJBIJaKoa7jFEbMK5EDAt0wuSkomEu6tV5xyyEZYBEEIaLvKDzOrq1asxOTmJqakp2LaN3bt3Y926dVWPWb9+Pfbv3w8AyOfzmJiYwNjYGIrFonefyefzePnll7FixQoQQnDuuefiZz/7GQDgJz/5CdavXx/WqYauAboqAvk5ZFLNUElhKaxtbWfvz2D+jz+C8oZ10D7yGRBWnaRms9mW61symQwsy+r7Dc2f7BaLRWSz2dDGtwKAcdCAc7LxNpNMJpcKjD8Oo1xr01TZhb5Y8E69kKIoSKfTUFUVxWKxa/wRpRTDw8MwTbOnTZHtaFFir1DBXlEFjlPZiRNuh34j9ZIg4Bej7mCRsAgCjFIQRelpWZhEd/nPQQFw1/IZRLUWkHjG2vuOoihYtmwZjh071vB3n3/+eTz44IPgnGPTpk3YunUrtm/fjtWrV2PdunUQQuChhx7Cvn37oCgKrrnmGlx00UV4+eWXcf/993up/GWXXYbNmzcDACYnJ/HlL38ZxWIRp59+Om6++ea+c7cboasGZjUC1WOt6roORVEiu4HKG5JE3HSzSuVHDsL4zIdAcmPQ//gekHRmwWNyuVxTo9dNrWzYSiQS0HW9qpavlXNoVeZrJuzjDVJSAmiqBsBNvfpd/hC2vFGupHejXBvVpjLGMDc31/fPWxwVBqs1lUp5OzaLYVfAElg82KuKKKXuaGXAh5Frfs3oZTOWFKUUKnPrhbshCMj7ZT8+U+45qBAQSHMTHx8NL8Cola7r0DRtAc5NVVWvpvRU14Cz2mfJUWVRKJFIIJFIhFKfJmZOuogqVXMT1TpGtZkkUD+qUantyJ/sRjW21ZqyGhpVSqk72tTqjYnrh3o9ypWOUtAVFERZmKaeCrWpnaobVqs/TT1x4kSPjrh7LS7sFYGmuSa1XDYACFBKoWsVIkcTjNxiJggQQgLpCFHKfw7LMirGxsaQz+cjIbMEkQCW6v0hLA3MagQKGrkapvxGLIyEUBhlGJ+/E2J2Gvon/weU8dMaP7Yy2aL2XNPpdGhA/W5VDyHmlyQCdJp0Oo4Dnuewjyw0qoQQr4HLMIwlA9gPkhzlSipTfFiCuVOxQkpLgtLUpdrpH4XaZbUmk0kkk8lFk6bWU9yxV4pCoaoMVk2j1byRolBVDYBwofcxw151SxBodyBAFOKcQzUKmJ42vJr3QqEQ6m4opbRued7ArDbXwKxGoF6Y1WZGrF0J7sD8X38F8crPof3Bp6C87rzAx9cavbCB+t2oVaZsI8PdTEIIcM7ByxzWIWuBEaWMgjHmbov1oY6z3xLChYrDdlN2PaF3bVrpWKU2dZCmhio/qzWXy3m15TJpGh4ehm3biypNDVIt9urRvI49fcZeyUYfwzQbbvdz7sA0HRBFgcoYQIgLveeNr/1+7FVfCQKOA9uyAl/jXlIOgpRVuEerkaV1y5Yt8+5r3R7jIFntXAOz2kOF0T0Z1Ra79fW/B3/6P6C+9/dBL3pL08dL8y2ECB2o341SqRQYYy2Z+HZxYtKkAoCwBOwDNuD7E4QQqJoKIcQpk6YGSo5ylZNlEu2PciVaZQpVepCmRqlaVivgfp7n5ub6xkKOWr+kctzcR+yV3Dq3HQdOi6+x4Hy+5IYxqLLkJuB74B/n2qvrs38UKvVGoXKX01znGAhiYlZ906s455ibm0M+n0cymcT4+DgMw0A+n+941zDIrEbdfL3YNTCrEUmmdvX+rZMvZdgz6/2yd34bzr89CHrNO8G2/lpLv8M5h6Zp0DQtVKB+p5JdluVyGbOzsy39Tr33qJE4n8dRCS5gHbQgrPn3kTEGyigsc/GMKeyZRGejXAdpau8l3xP53Uin030d3tELSezVNRkDPypo2FXUYETsmxhToVDFHQbSwf3A272omFadMdf0Buxe+E1rrwgCAr7vPqXQdd1FdtWOQiXxWNsP1cFW+ctmEokERkdHYds28vl827tFje7/jLHBwruJBmY1ItUzQnJrrd0PZZRb7M5Pn4D11S9B2bgZ6nt+r6XfUSpMwH6NSvXLb+JnZ2fbMor+katBj/E/pxAC9iEbouSeM1Hc2lTBBYxy/0elxl2tjHIdpKn9ka7rSKfTyOfz3uKTMYZUKoVMJoNisRiLccBRaZgKvG3YwJUZIzLslbv7ornTrMJ4LYWAbVmwQcCYawadykKwkf0j7oH0vK7VdhzYjgOqKB2PQo1a/mS1nsrlMsrlctUOhP/70qkGZQDNNTCrESmobrXVD6WE+wPhTlnyjueVn8P8wl+AnHUOtFs/DqI0bziQ5IFyueyVAfRL3Zp4WXcb9HP/+Qkh4LzmgM+5F9dBmtq5Go1yVUaUQZraYxFCMDw8DCEETp48WfWZt20bs7OzXv1eOp0OhdUaZyUV4IqMiS1pM1TslctQpTAtK4LOdzG/EKQUuh5jggDncAyjahRqXEi4rQ4EkFQMuaM3PDyMfD4f+L1oVHIm70GDe0iwBma1h+Kcg1La0paarutIJpORbbHzqeMwPn8nyHAW+gf/DERfOCfYL0op0uk0bNvG9PQ0KKVIJpOhH1crktuT3dbJNkpWa9NUKT7F4ZxwQBQCTdXgcGeQpnYp2e3Mkgyja0dBM9Rj4co0dXp6enAhj0gyTS0UCoGpqazfUxQFqVQKo6OjS37wQmjYK+JeL7jgPUmm58cjU6iaBoiYEgTkKNTKTl0iMT/OtV8abnN6lbwfyoEzckpjPRzcoLmqOw3MakRqNHJV4owayT9lKaotdlEswLznU4BpQPvoX4DkRgMfL8kDfqB+FCiuVhTWhC6ggiqpeT9q01QpZ9aBfcz20pFuANgD+URcbqpymoK8k4dadJNUxhhKpVKoE8YGmhchBENDQyCELEhTg8Q5Rz6fd0dWtslqXazqBntFqY8M0uPrBXccmJKBWplAaNvxIwgA7r3RsiwwxpBMtEYQCFsJIqB3eEvjnGN2dtYrSxsfH0e5XEahUPDe94FZ7U4DsxqROsFX1TOFoR+XbcP8u89CvHYI2kf+HMoZZzV8bBACqp3mpDDkn9AVlon3n0OjNBUAeJGDH+bQNd1NU5dw3V4vRfQKN9VXmyproaenp5FKpZDL5WLRwLeUpGkaMplM0zQ1SO2yWpeC2sNezQP+DcNEP9uHOOcwTaMytEMFIy5BgMeEIEAIcRu+Kk1jdosEgbA1rIRzTykUCigUCt5izrIs5PP5gVntUgOzGpEamVVKF67IW+WChnFM1j//Lfh/PgP1dz8M+ssbGz62lVGpvTKrsiQi7K5kzjkYY4FGVZgCeA1QmQrTMiH40kyPeqpKmtqsNnVmZsYrP5G1koOFQueSNfCU0lBLK2Q5QCKRWMBqXaryY69+UNDxlA971Qjw32+5QztMjyCgxoQgUIutapkgELKGabjPXcswppTWrbsfmNXWNDCrPVS9NLIVUxiW7H/9/+D88N/A3vkesP+yte5jZNNSuVxuapyjXu36SyKi2A7mnKNQKCCXy8E0zQXQZ0YYxHEB0zJh2AOTFIbqpalBtamO45xyDT5RSC4GisXigrnkYam2U1p+vxbr1KtWtIwJ3JgtY2vGwGNFHT+xUjAF6XuaGqgqggBriyAgfz/MMyNK41GrvSQItNpc1a4kw3h0dBSJRMILXkqlEgghoJQOFuEtaGBWI1Qj1irQnikMQ/auR2Bv+z+gb7kC7NdvXvBz2bSkKErLCKhuuLHNlEgkoOt6ZDc7WZsqb7CJRKJqKzOZSKL8izJKs6VBmhqGSIWburyzTv9TscEnLPW6Uc00TZimCVVVPZrJUme1jiUYblqWwnX5Ih49wfFDO3zsVfgSsG0Ltg1QxqDrGpwKQaDRJK0osFcEzUet1iMI2LYFO8SApxm2qlspioLJyUlQSsE5x7333otLLrkEV1555SBZbUEkyGgcOXJkcJfuQoyxBTWqQ0ND3v/3F19HKefF52B+7hNQzlkD7aOfBVG1qp/LpqVSqdTWCi+TyaBUKoX6RZMlEXIrMWwFbfkDbtKdSqUw++Is8q/ll2zTSC9F9Ao3NbUwTW2Xjes9Z6WRQdd1lMvlSD4ri12MMQwPD/fd1EtWK6Uu6WGp1R9nMhmoqoqZmRnvs2wJhIq96pWUSkOYqKSvrVz/ujWtuqa1vcWvEOINVgiLIPBrQyW8NRXdZ3N8fByTk5PefxeLRTz55JN45plnsH79erz1rW9FOp1e8Ht79+7FAw88ACEENm/ejKuvvnrBY3bv3o0dO3aAEIJVq1bhlltu8X5WLpdx1113Yf369bjxxhsBAE8//TR27twJAMhms7jpppu8hWW/tWrVqrqrvEGy2kNpmgZVVXt68+BHX4X5N38Gsuw0aH/wqSqjKmvYOm1aapcb20yywSyqkohGnf5AdT3f8b3HwSd5Ff9zkK52oC7T1CDJRgbZ4HMqdKW3I7+B6ndqI1mtlNKqAQOLvZSDUorh4WEYhoGTJ09W/cyPvdpTZni0U+xVjzVPEKBQK/cK2w4mGXRLECBEgWizFpULtzyLWABT1VAIAu1iq9pRvf6OVCqFyy+/HDfccAMefvhhfPGLX8TrXvc6XH755RgbGwPg3rO2bduGW2+9FblcDvfccw/WrVuHFStWeM8zMTGBnTt34vbbb0cqlVpQ5rN9+3acc8453n87joMHH3wQH//4x5HJZPDtb38bP/rRj3DddddFdPbhaGBWI5T84vo72UulUs+6ZcXsNMy7/wRQFGgf+jRIZj7VDaNpKSx8FWMM6XQ6sgazZmmq7I4uFouYPjgN+5i7SndZhQo0dWBa21VQmhrmdnSjrvTa+uNTRTJNLZfLCwxUv+U4zpIp5ZCp/tzcXGCqpxDggqSNDQkbPzcpHm0De9VPce7ANB0QRYHKGEBIdASBLkatCrg1rBJ7JQkCtm01LS2oVZRlAI1CHUVRwBjDW9/6VmzevBnPPfcc/uVf/gVnn3023va2t+HAgQMYHx/H+Pg4AGDjxo3Ys2dPlVndtWsXtmzZglQqBaB69/bQoUOYm5vDmjVrcOjQIe/fhRDeqN9yuew9f5w1MKsRSgjhTXySplDTtLpEgND/tmnCvPfTECenoH38L6GctgpAuBzXRnSDdpRKpcAYw9zcXCQmPihV8rMmp6enYc/asI9U33i4w2E4hssqVFVvzv1SxfN0rQjT1Gbyd6WPjIzAsqyeldrEQel0GpqmxSJNDVI9Vmu5XEapVIr9AkNRFAwPD8O27bYWA4QA5+kOzmsJexUfCc5hmqaLvZIEAdsOvq6id9grv/wEAU3TIUR7BIEok9VGHf+MMe/fFUXBhg0bsGHDBm8i48zMDEZGRrzH53I5HDhwoOo5jh8/DgC49957wTnHtddei7Vr14Jzjoceegg33XQTXnzxxapjede73oXPfe5z0HUd4+PjXnlAnDUwqxFKVVUoilLVyV4PRB+2BOew/vdfg+9/HtptfwR67vkAwm9a6uZc/A1ms7OzXR9LrZqlqbWTe3iZwzpkNVzic85hGu60Faa6XxvbGphWv3qVpjaTbJrTdR3ZbBaO46BQKMTawHUjuR1tmmbs0tQgLTZWayKR8LZZu2kWC8JexVWSgQqPIOCaLNt2EEQQiBp7VU+dEAQIgKEQOKuN1C5jtV7tqlRtSQHnHBMTE7jtttswPT2N++67D3fccQeefvppnH/++VVmF3ADnMcffxwf/ehHMTY2hm9+85vYuXMntm6tTwiKiwZmNUIZhrFgZRlGGtlM9rb/A+fJH4K9+3dB3/xfqpqWwtxm76QMQDbGUEo7bq4JUjOTqigKhoaGquagC1vAPmgDLXiZKtPKGEAGprWfaWqQJDJmKaOUUqkUEokEZmdnF/V5xZnVSgjxPj/tTPtqJj/26kcFDbuKGoyYm9Z5ggABZbRrgoAcCBCFFhAEFMVFdtX5TA0rHEqE8AZKad3vZzPGajabrVqATk9PY3h4uOoxuVwOZ555JiilGBsbw/LlyzE5OYlXXnkFL730Eh577DGYpgnbtqHrOi644AIAqCotkM1WcdbArPZYUY8ptR/ZDvs794Ne8Taw626IlOPa7rn4qQNymyPs4wm6kchkJJ/Pex3JggtYBywX/t/m3zLNedNKCIFlW+DOqWVa66WpQ0NDoYPnu9FSRCn509QTJ070+3BCUy2r1XEcFIvFvhlxWc/uv2aErWEq8LZhA1dmDPy4qOGHhcWBvXJsG45tg1IKXdPAK6Y16BpMakxr7UCAKMQFh1EpZVCZiqSqwqohCESZqgJoyFKVo7sbafXq1ZicnMTU1BSy2Sx2796Nm2+uRk+uX78ezzzzDDZt2oR8Po+JiQmMjY1VPe6JJ57AoUOH8Pa3vx0zMzM4duwY8vk8MpkMXnjhBZx22mnhnWxEGpjViNXLsaTOs0/B+vLfQdnwZiR/+w+QqXSqRslxbeXcJMOVEBLaqFS/WklT5Y3Pn4wIIWC/akOUuqvbNU0TRHEvhISdIqa1SZoaFXi+G1mWhenpaa+hjxCyKEe5JpNJJJPJRZ+mBqnfCwxJB1EUJdQ0NUhJBbgiY2JL2sTTJRWP5jVMLQLsleM4bjOqQqFqGiAELNtuCPoH5k2roig9q2sVAQSBsKdX1cpfm+oXpTSQikEpxQ033IAvfelL4Jxj06ZNWLlyJbZv347Vq1dj3bp1WLNmDfbt24e77roLiqLgHe94R2AZQTabxa/8yq/gvvvuA6UUo6OjeM973hPKeUapAWc1YqmqusDQDQ8PY25uLtQvKT/4Cxif/UOQ5Ssx8tn/CTUzhHw+H3mylcvlAqdLSepAVKagWZoqb+z16szs12w4U+GmzURxa7oUojRtRFisCkpToyjtiEpylCuldFGMcvU39/SrtKJfkgsMRVEiZ7X6p331E6/FBbCnzPBIQcdhK/6mVcojCKBCEOD1r4GUMTBKYZomuBB9aa5jjIExhktSFn41EV1jYi1jVWrZsmU4efLkkl10dqIBZ7VPqpeshs0nFScmYX7+UyCpFJb96edhqlokTUt1/3aDC4ykDnDO+5KmUkoxNDQE27brbpM6U07oRhWolBWYlts9qzIwtdI9ay8B00oAOk5Bly2eNDVIi2mUa1jNPYtVtm1jZmYmclZrPxoCG6kWe/VIXsd+M/7YqwUEAbWWIECgaSqEEN4Csd8EgXSSI5fLwXEc5PP5npnHZjWrA81rYFYjVr0vXphmVZSKMD5/J1AsIPfZLyLPdIgeJkTyXPwX9lpcVxR/M+iCJptOGt3YnVkH9tFoL0ZC+EwrY2CJxW1aF0NtaqeK8yjXRiUsp6qiYrX6+bRBO0X9UC326pG8jucWA/ZKEgQq10CdMe9+YVn1E9d+EQQSThlTU3NerTSA0OqUG40klyHWqf6dblUDsxqx6n0QHcdpWljd0nM7Duz/9TmIV19B6qOfRXl8RWSdlY3kN6syTbVtO5ILfitparOmE17isF+1O6dQtynvgm27N0Q9ocOxncWz7bPE0tQg+fmfcTCtEq8WZXPPYlWYrFYJ+I87nxZwsVe3jJQwYSv4QUFbFNgrVEa3ElWFUiHhzAcc7RMEolC20mAl7x2MMWQyGQwPDyOfz3eV4HdKAhioWgOzGrEaJavdslYJIcD9fw979xPQfvt2iPMv7Or5OpU0qXJUalRooGZpqgSiB02UEaaAfcAG+hECChdxZdv2ojGtSzlNDVK9Ua69hNZLVJIfrzZQfXXDalUUBdlsdtHxaQFgGeOLBntFFAWaqsJ2HFgV00cZg667BAErAHsFLCQIRKHaBisZuMgAZmhoCIVCoaNrAKskyrUamNX2NDCrfVC3rNVEIgF7xzcxt+NBsLf9Bujl/Z3pK+H+/RiVyhjD0NBQ3fncVc/jVBBVdp+v6H7TSn2m1eld2ttUp1CaGqR6RsgwDBSLxcgMZO2wioFaVz1Wa6MJZkulBlhir66oYK9+FDPsFWMMSqWJyv+dkdgrhVJomjvO2m6RIBCFaW00vYpzjtnZWY9oMz4+jnK53NZkPEVRBslqCBqY1YjVqAygE9aqhPvnf/Q95P/pb0EvvhTsxt8K4Sg7UyqVgqZpME0zkq3SZmlqJpOBqqqYnZ0N/NILLmAfsiHiFD0I33hAxqDremUiTH9NK0lU0tSk+/mUCJ+lnqY2U+0o17AnLflH/w7S1O7kZ7XKCWaS1RoV4L/fSinAlRkT/yUu2CtCoKkauOAwAxZd3HFgVu6HKnN3G23bCvxeeaYV4dR76kQg0cTfCyGQz+eRz+e93RbLslrilzPGGjJWB2a1dQ3Map/ULntVbrPP/PRJlO77cyjnng/1/R8BiXDAQCNJjIxhGJibm0MymQz1+ZulqTLlK5fLTbfvhBCwX7PB8/E1WbEwrQFparFYPGXS1GaqHeVq23bXk5YkeH6QpoarWlaroigghGBubm7J1gCrBNicsnBx0sKzZYZH+4C9UiiFyhgsK9h0+uXyqg2QypAVRirYq4DvVVgEgWFFoJ3bsVy46rqOXC7n1U83SuiDktXB9711DcxqD1QPX9Xql0saQ9M0cfLn+2Dc/SmQkTFoH7wTRNOjONxASS7l3NwcOOcghIQ6kauVNJUx1nIzhDPhgJ+Mr1H1S5pWd4yhDu40nwgThgZpavuqHeXayaQlP3h+8DpHJ5f16b62QggPmL5UDSvgYq8uTNq4oKfYKwJVc9NRwzDRyWpbcA7LND2CgMoYbMeBE/C96pYgMNSgBKCZ/NcA+T3O5/MLDGijmlXGGIrFYkd/+1TUwKz2QEGs1aAblN8YOrMzMO/5E4BzaB/5DMhQNurDrpKqqkin0wtGpYY1oatZmiovCO3MmnemHTjHF982i2M7cGwHlFFolSYE24rAtA7S1K5Vm97J5qxmpjUu4Pmlrnqvs5/VutTT7F5hrxRFgaqq4Q1CqRAEbJCaHScHYRP1cYIfAAAgAElEQVQEcl1Or5LXABks+Zux5k9n4dEMygDa08Cs9kBBrNV6Bk0aQ1nILSwT5n2fhpg4Bu2Ou6CsOKMXhw2gelRqo+lE3ZrVoC9spykfL3DYh+Pbad+KPNNaaULgIjzTOkhTw1W9Ua6NOMNxAs8vZTV6nWtZrXIRHgeubpSKCnvFmApFUWCYZgToRAHbtmDb8wQBh/NKmVQ4BIFhJZxjloMr5JCRZcuWBSanYQ4GOhU0MKs9UBBr1Z/A1DOGQghY//B58Bf2QP39O0DPW9ez49Y0DalUqumo1E7NU6tparspHzc4rINWfLrru5Q3e5sqXuesZVsQvIMTJABdRkHHB2lqFPJPWkqn0156J9NXSVQ41cal9lKtAv7rcXV7iSjrl8LCXhFCoGqa2yRlRp9O1yUIWFbge9WKaa3FVnUrOWQkn897CyaZtsr73SBVbV8Ds9on1eKrGhlD+8GvwNn1CNiNvwX2lit6cmwyZRNCtDQqVZYCtHqBb2ZS/Z3R7aZPwq6wVJfgdYA7HIZjuKZVbd+0DtLU3ql2lKvkpk5PTw9uUhGqE8C/LN0oFAo9Q5TFQd1gryhjYJTCtKxA3FQUmicIUKiqBjd9tTsmCGRDSlZrJcfJkkqz2OjoKH76058ilUphxYoVg+tAmxqY1R6oURmApmnezayeMbR/9O+wv/UvoJf+Ctj17+7Jseq6jmQy2dao1HbGxzZroOqGMym4gHXQgjCX7g0G8JnWSp2YxGA1vFgP0tS+Sb5HpVIJhBBks9lBnWoECgvwX4soC2K1LhX5sVdPlVT8IBB7RaBpqmfE+inOHZimA6IoUBkDCIHdYIyrVD2CQCPGahiSCar8XFmWhW984xsYGhrCtddei9HR0cj+9lITCTIOR44cWdp3/R5K07Sq/5Y3LgB1jaHzn7th3v3HUNZsgPbhz4CwaNcVclKH7GpuJ1FIpVKwLCvQ3DZLUxVFwdDQEIQQmJubazvREMJlqfLZpXtTaSRFUcBU9/PhXqznX4OgNLVRDfJA4UhOVfNzgOWWs67rp0SdZC8UJeBf13WkUik4joNCoXBKpGFcoC72yk0yGawmhrBfIhWCgERFtfJeCQCfGJ9FLiLDKseP1y5OJyYm8N3vfhf5fB5XXHEF1qxZU9X7sXfvXjzwwAMQQmDz5s24+uqrFzz37t27sWPHDhBCsGrVKtxyyy3ez8rlMu666y6sX78eN954IwA30PjmN7+J/fv3gxCCt73tbbjgggsiOe9utGrVqrrx/iBZ7YOkMVQUpe4Me/7qKzD/7s9BVv4StNv+OHKjmkgkkEgkkM/nOxr/KZPVoJ8HmU95s+lmBrpzzDkljSpQYRQapmtaGQOIe2EiY2SQpvZBlFIMDw/XTfn6Pcp1KUkucDnnda+jYUjiieR3B6gfLiwl1cNeHRAJEKJ0jKTqhYQQ7vtCiDsdUGdNCQIKgBwjUKC4da0hfwcbsVTPPfdc/P7v/z5eeeUVPPLII/jud7+LSy+9FBs3bgQhBNu2bcOtt96KXC6He+65B+vWrcOKFSu835+YmMDOnTtx++23ews1v7Zv345zzjmn6t++973vIZPJ4I/+6I/AOV902KyBWe2RZF2nhPsXCgVkMpmFj5s+AfOeTwGqBu3DnwZJpSM7JtkEIucgd6pG42NbSVMlo7KbaTLOlANnMn4r/V7LBWuboCmK3NoctCHNu7EOalN7o1QqhUQigdnZ2cCFXz9GuS4lyXKhbha47aiW9qAoitc4t1RFCHB+mmDzygT2TZexY0rgOYSPvQpdQhIECBijLkGgwqyuNa1pRYC6zCsv2WwWrrSjRo1UlFKUy2UsX74c7373uzE7O4vHHnsMlmXhtddew/j4OMbHxwEAGzduxJ49e6rM6q5du7BlyxakUikA8BZSAHDo0CHMzc1hzZo1OHTokPfvTzzxBD7xiU8AmA/MFpMGZrVHopRiaGgIpmliZmYGADyovvxiCKMM42/uhJibgf7Jv4Yytjyy4/Gb5k7SVL84527tZM2/BX3hk8kkkslk11t3fI7DPrq4EVWhSdamLqMo2AWUZ8sYGhryaia7WZAMFCx/mtpuyhf1KNelpH6PpfXTHiT2qlgs9r1+Mwr5m9WWcwe3jAATtoJHCxqeDgl7Fa3E/KAV6ppWzqsHrWTpwpOQu4RhmNZGeMpaEzs8PIxf/dVfBQDMzMxgZGTE+1kul8OBAweqfv/48eMAgHvvvRecc1x77bVYu3YtOOd46KGHcNNNN+HFF1/0Hi9T1O3bt+Oll17C2NgYbrzxxiqTG3f1cXjwqSXGGPL5fFWN2oLtc1UFfcN6aB/4BJTXvT6S46CUerWyMzMzXRtVoPo8hBBwHKfhl5xSipGREVBKceLEie6MaonDOrR0EFXdiCQJ1HNUsOXM7Xyt1EYCwMmTJ0EIwcjICHS991PPlrqSySSy2Szm5uaqBma0q3K57H0nstkshoaG6u5YnKpSVdUz861QSqKUZLXOzMxAVVWMjo6GPna6X1IUBblczlsQ+E3VMsbxrmwZn1iWx2VpE3r382B6IsdxYBgGHIdD1TRomgaiKIHNVYqigFIa6oRGqXbRVfWGCk1MTOC2227DLbfcgq9//esoFot4/PHHcf7551eZXfn46elpnH322fjDP/xDnHXWWfjWt74Vyrn0SoNktUcqlUoLbjySteo1XygU6n/7vciOIZVKQVVV5PP5UBsF/GUAQWlQq1ukrUhYAvZBGzjVwydfmiovaPX4tLUQ9EFHeveSZSy2bYdaM1lvlOup0tzTSHEdpLDUWK2yvKLZjleWClw/bODKjIFdRQ2PtYG96qc4d2AajkvpYAwrhyg0zQks5yCEgFLatKyt3u/V+wzI63Sjz0c2m62qdZ+ensbw8HDVY3K5HM4880xQSjE2Nobly5djcnISr7zyCl566SU89thjME0Ttm1D13Vcf/310DQN69evBwBceOGFeOKJJ1o+lzhoYFZ7pKApVlFL1lkZhuGVIIQpIQTy+byHjqndwuxmi7Tu33MErAMWhLX4bgZhiiQrnf6J1rip8sYqTevo6OjAtHaoKDvQpfyjXCUpI4yyncUkCfiP+yCFxc5qleUVANoqr0gpwFUZE5dWsFeP5jWcaIi9io9kfb9mWUgkEi2Vc7RrWoPqVYMWnqtXr8bk5CSmpqaQzWaxe/du3HzzzVWPWb9+PZ555hls2rQJ+XweExMTGBsbq3rcE088gUOHDuHtb387AOCXf/mXsX//fpx33nl48cUXcdpppzU9hzhpgK7qkQghC+o6VVWFqqqRduWl02lQSpHP5yNJJGrreuTKXPIJZW3s3NxcKDdZIVzoP8/HJ13puQhAl1e4qXXS1FbN5wCj1L78TYH5fL6nRqSVUa5LSfKz6Ud/LSbJBU3cWa1yMdQJ27pWEnv1SEHHESv+pvVd2TIuTlneAl7TtJavhZIe0OgaoOu6d+/zS34ugoKb559/Hg8++CA459i0aRO2bt2K7du3Y/Xq1Vi3bh2EEHjooYewb98+KIqCa665BhdddFHVc0izKtFVJ06cwFe/+lWUSiVkMhm85z3vWVAuEAc1QlcNzGoPVctalQMBosAIqarqzbyOovi/2epSbjfLhoQwLtRCCNhHbPCT8bzo90JBaWqn3FS/aS2Xy4sOadIrhYFYC0OS4kEpXZId6f6dmG5qgOOiOLNaZXlF2MxlIeBhr/ab8a27/p3RItbo8++HJPYkEom2kvF6zViyZ6D2eppOp8EYi2SXcylowFmNoaIoAyCEeOlLVE0IzbokM5kMVFXFiRMnwBhDNpuFbdtdpwvOpHPqGtUmaWo3C54B+zNYhBBvXGo/OtBrJUe5yo70TCYTSioWB0lKSBh17XFRLatVYsv6mYzLBYFhGJFQQggBztMdnKcXcdBU8GhBx3Pl+GGvaket1kPKtULnqEcQoJTWXUhSSpfMZ7uXGpjVHkqyVv2q/e9upGkaUqkUisViJGlLszRVXoz99WWyC1PTNGSz2Y7TBWfGgXMsPolEL9VubWqnGrA/F6qb8b9RS3akL4XGOX95RVSA/36rltVKCInsWh2kXi8IVmsct2ilWGKvhmnja6csB9B13bt3FYvFwNfMT8UJqlldarshvdDArPZQ9cxqGCZAmhchRGRpapC59JunmZmZuo+VzSKddDjzAod9+BRciSqVTv8I0tRmkhfqU9W09pvn2Y7qdaQvphrkXgP++y0/qzWdTveM1SpHfPdrQSCxV1szBn5U0PDjogajj18rRoBUC1mRPxmXIP1mNePJZBKqqta9brSLrRrI1aBmtYeSc4v9koXtnaZjuq4jmUxG1nDRLE2V5qndm6OmaUin001NqzAEzF+YwCn23Y6iNrUbyXrNUwFYLz/TcUxTW5G/7i7O5Rz+BcHs7Gwsj7EX6qS5p13Jz3ScFgRFDuwqavhRQUOhD9irMcrx8eXt10QzxpBKpUApXbDI8JcMzc3NzQ/88d1HTzvtNExMTCzpa2g3GjRYxUCU0gWs1XQ6DdM02zaaclya3JoI+0LfzKTKG42iKF2ZpyDTKmwB6xcWhHkKfQybpKn93uKtpT0spQuuXBAoioK5ubklcW5yyzduybgsGYrDZzouqm10DGuR4b9Ox+X998sS6Av26nWagw+Mdd5MKhukJdHHcZymVAVCCJYtW4bXXnut47+71DUwqzGQoihgrLryIpFIQAjRVoKTSCSg63pkzMVmDVRRmCdJL5DMVtuyYb1iQRRPnY9gozQ1juZJdjjbtu1dqBezlrp5ilMyHlUH+lKSHKDSzSLDz6hdDCUhvcZeXZiw8d6R7l8XWV4hTWuj90vXdW/kuh/6P1C1BmY1BqrHWtU0DZTSli4mlFJkMhlYlhUJXqjVNDXKbTtVVZFKpVB4qYDS8dKpcTOLeZoapFbLOeKsU8k89XORsdjMUxzUKat1MTNqhQBeNCkejRh7dWnaxNuHuyvzURTFG4YjueLJZBLPPvusNzIZcNNtTdNw8uTJJc9H7lYDdFVM5TjOAv5qPUm4ftijUqWapam96oq2LAtTL0xBnBBgKgOE25CwVE1EUJoat9GS9bSYpyzVo1csdfVrlGs6nYamaQ0bMAeqr3K5jHK5XNWRHvR++c3TYk3vCAHeoDt4Q8TYqyzt7hnrjaaVC7F8Po9t27bhjDPOwNvf/nYMDw9jYmIilmUYi0WDZLXHqjWmMq2cnZ2t+3iZppqmGUka0SxNVRTFMyH+gvGo5JxwYB+ZNzqKoixN07qI09Qg+cs54mxaJQt4MSZPYSrq92upAf77LYknrPd+9WIEcL8ksVdPFVWEdQd4b66EC5Ptf979o2mD7omJRAK/+MUv8OCDD0LTNFx55ZU466yzujnkU0KDMoCYSFXVBfiqXC5XF8ycSqWgqmrf0tReT+zhcxzWQQv1ltCeaQVgW4vbtJIUAVu1OGpTO1VcR4PKrejBpK5qRfF+LUXAf1xUy2pNJBIA/n/23jxKjvI8+75q6a2Wru6e0Y4WkCWxDMECa2E7krAQUViF5SHIKCZyHAfbX3wOsQnfke3z+U38+rxJ4GTxcfDxAaPYIHuQZBTEJguIMRy0+EUaja0BWRIasWnUM91dve/1/TF6ip7R9DIzvVR337+/NN2Ppp+pqq66nvu57+suLZ5aAT3HVc326msdcSywT+y5yu4fpQIKLIeV2d7lcjmcOXMGr7zyCuLxONasWYPLLrusqh7rrQSJVYtQiVgVRRGKophbQNWmkmhqvfuf55N5ZE5lUG7ZbBapcU0oWvnzXag6WiuaWgoriVa2Fd3u0dRSVKOVa+H9o5ZewMTIVrTb7Ta9dpvRam0yVMP26uFpUXSIlT/bKskDZuk1xXyw/X4/3njjDdx6660Vpf+1IyRWLcJ4Xqtut9u8sJl/WzQarYkQKxdNZdGQem4lGZnzFlWZyi+3ZhOtnHQ+N9XxSTSVFau1SjS1FI3sZ1/YWpKiqZXBWrmKojghw/p2M/hvJIWFgQBMr9ZWXfiOx1Rsr34wMwKxAp3LFl/ZbLZkbruiKHA6nQgGg3TtTwESqxZhPK9VRVGQzWbhdDqRSCRqsjouF01lD/RMJlPXYhMjZyDzXgZGcnKXmuVFaxtGU0tRKFrr0bWHWQDRVvTkKDSsL7f1WUkeHzF1Si2+auXVanUmansl8Qa+N6P8c268IqqxCIJgFr81Q1Gs1SGxahHGeq2yjhcAamYHVS6a2qgHumEYyA5kkY9O/cvN8Rxsos1SorXdo6mlKDTUroXDBBX2VJdCETTWeqrZO341E5XmARd2MbNaQ4hawmyvXos6cLKE7dUsMY8Hp5W+L1TSTMHpdJoF0rRrUx1IrFqEQrHKKjszmQxyuVzVo2zloqmiKJomxfV+oBuGgdzHOeQC1c0dZKKV4zhkshnkcw0QhDwgThfBd/AUTS1DpZG7iUCFPbVjbCtXdj9rB4/aRjKVPGArNYSoJ2fSPF6LOfCHcWyvljiy+Cvf+O46lfgBsyCTIAgIBoN0n6ki5LNqEQzDMKNKhmFA13UIggCHw1HVzykXTWXFJpFIpCFftNxw9YUqABh5A+l0+hPRKtZXtHISB9scGzjHyPetMJpKW0QXwgpDOI6DLMvw+XyTNo0vzC0LBAI1mC1hGAbi8TjS6TQ8Hg8AtM1Wc6NgC93J5gFP1Ku1VZhnz+OL9gT8WR6vRe34v4lPbK+KeayyhVgpP2CbzQZN05BMJuk+U0coslpnOI5DZ2cn4vG4mQPDxGs1KmfLiVQrWPfk9Byy79dHINct0krR1KpQaru5FK3sMWk1xroqtGvkrh5UshU9UUp5tbYyzPbqrbgdq+QU1qmfCH9mN1WuiEqWZbhcLoRCIUp5qRGUBmAhxrOs0DQNuq5P6feWWylbwQg9H88jc7q8RVW1qaVoLRVNbffc1Mkydru52MKqETZr7Uq5PGBWjDLR1qDEhVTi51mNzyj0am2XCvZ4HojlOUw7b1tVSeSadQYzDAPBYJCu7RpCYtVCTKQxQCWUy00tbCvZyJ7cRtpA+lQaaOBCnuM4iDYRPMcjm81OTbTzgDhDBO+7MJpKxSbVgxUAjq1urnfTinZmInnAdrsdsiy3zXZztanEz7Oa1Nuhw0oU2n8Ve4Y6HA6oqopYLNY2bZkbCYlVCzGe1+pkIqvlRCrrjCQIQsMLIIzseYuqqbYdqRJTFa2czME2m6Kp9YQJpnQ6DUEQ6tYCuJ2ZSmFPs7TetQosetcoB4tCh45WT12q1HvZ7XbDZrMhGAxSelGdoAIrCzHewzWfz0MQhIpFU7nc1MJ8yUZ3kTHyBrLvZy0jVIGRc5BJZ0zRKtpEZDMViFaKpjaMRCKBfD4PRVEAgI51jZmqwX8mk0EoFLJUFzOrYoWc63w+j0gkYuaN+3y+lmxLzI51qV0CURTNhYPf75/Sgvjpp5/GsWPHoCgKHn744QveNwwDu3btQn9/P2w2GzZt2oS5c+cCAA4ePIi9e/cCANatW4fly5dPeh7NDolVi5DL5cDzfFmxVEk01WrV50bMQD7W+HmMxyjRKpYWraWiqVY51q1K4bEOBAIwDANOpxNer5cKe6pMocF/MBiccuQ6m81C13WIoghJksyFHaVufGKBxHIhrbBLwCLh8XgcLpcLPp+vJbxa2bHO5/Mlq/glSYIsy9B1vSppcytWrMCNN96Ip556atz3+/v74ff7sXXrVgwMDOCZZ57Bgw8+iFgshpdffhkPPvggOI7DI488gq6uLkiSNOU5NSMkVhtAscjq2NSA8caUulmwSIjltnCKezNbBsMwkMlkwGULRGs2i1w2R9HUBlPsWBda8ng8HirsqQK1vK6z2SzC4bDZypXdq9r1+8NqCax6D2E2ZUy0NvPCsJJjzVJeOI6D3++vWr7wwoULMTw8XPT9vr4+LFu2DBzHYcGCBUgkEtB1HSdOnMDixYshyzIAYPHixejv78c111xTlXk1GyRWG0AxsVrY2Wrs+HLRVNYFyyqr80K4ShowW4SxotU5zQl+Jo+0MRIFomhq/WA51zzPlzzWqVQKqVSq7Xwkq42qqhAEoebXNct/ZQ0hLLnArjGssKdZ7iGsOLcZv2MsD7fUsbbb7ab7Qr3T5nRdh9frNX/2eDzQdb3o6+0KidUGMJ6YzOVy41paVRpNterqHEBTXmUGZ8DoNJDtyEKRFSh2Bel0Gna73drHukVgkZCJiBgmWtmDp5keqI2ksGNPPR/UhQ0hWI5kox1Lak1hYc9k3V8aSeF3TFVVSxfPFRaslTrWiqLA6XQiGAxaJjVlrFtQudfbgSaUEa3J2DSActFUnufNm4UVo6mFcDw3kgrQJJqBl3mIc0Rw9pEbQywWA8/zcDgcMAyjrW8Y9WCqUad0Oo10Om0KXis/UBsNM/gv1bGn1oyXIznWpqwVaKU2wIXfMSsWz1VSsCYIgtkI4Ny5cw271jRNQzAYNH8OhUJwu93QNA0nTpwY9fqnPvWpRkzREpROkiRqxtgvBmvDCowI11IPaafTCY/Hg0QiUdXOJrWkKVIBeECcJUJc8IlQtdvt8Hq9SKVSGB4eRjAYhCAI8Pl8cLlcDZ5wa2Gz2eDz+ZDL5aqyPcqq0ePxOBRFgaZpRVNt2g1BEMwtxmAwaInoM8uRZAV0Xq/XFELNDM/z8Hg8EAQBgUCg6YVqIZlMBrquIxKJmHmt1W4dPhFYSpzdbi9pN8UWRbFYrOHBnq6uLhw6dAiGYeD06dNwuVzQNA2XXnop3n33XTNv+N1338Wll17asHk2GvJZbRDjea2qqmpuXY73oG7mbj2Z9zKWdQQALoymFuamjrcgmGxbUGJ86tFdjSyURmimCF+zt3Kdqv1Xs9FIr9ZKun4xMSsIAoLBYF2u/23btuHkyZOIRqNQVRXr168373HXX389DMPAzp070d/fD7vdjnvvvRfz5s0DAOzfvx/79u0DANx8881YsWJFzefbaKgpgMUYK1ZZbqrD4YAkSchms6NEK3vANGvv88z7GeR1Cz5opljpT6J1arAHTD39HNu1zSRb7Jbrf25FmrGVq6qq4Hm+aXa/qkm974uVdP2y2WzQNM3ckSSsCYlViyEIgtmFZ7wbLxOtuVwOgiAgk8k03QOmkOzHWeSGG7/VWMhEo6mlKOxlT6K1Mli+ZL3aSo6lsM1kq/t+MrHXrItdRjO0cq0kwtcuFN4Xa+HVyhZgbBFTDFmW4XK5EAqFqDjW4pBYtRidnZ3mF6zYOZAkCS6Xy7RTapaIwnhk/VnkBi3yYOEBcaYI3lt939TCm3Mrdn+pBpW2OqznfCRJgiiKLef7WWg630qtaa3ayrXRCzArU9guuRopHZUswNi9hhUiN+vzs50gsWoxBEGAoihwuVxmAjU7F2fPnoXX6zUTwIHm3AYrJBfMIfth4x8o1YymlkOSJFO0tlpl82Rh23WRSMQyAoNRmG/XCvZk7dC4wmazQZKkhuchF9oklYrwERiV6haPxycl6itJsXA6nVBVFZFIhM5JE0Fi1aIIggBVVeF0OhEOh/H888/j2LFj2LRpEzo7Oy8Y36yiNR/JIzPQwO3HGkZTy0Gi9ZMIRzM8zJlZvd1ub9qtXGbwHw6Hm+YeMRVYK9dGpHRUYpNEXAhL6cjn8xVHxws9gYulWrEAhM1mazn3hXaAxKrF+eCDD7Bz505cd911WL16NVKpVEXNAJqlSjafyCNzskFRD4WHOLs+0dRSsG2wVuizPRGaqfq8kGYsnqvkYd7K1DOlo1VTLOpNpdFxll5VKsVCFEUzwq3rOp2TJoTEqkVJp9N46aWXcObMGXR3d2PWrFlmpHVsesB4NItoNTIG0u/WuYBlnGiqFTp+tYtobebq80KaRbRSvuQn1Do63g4pFvWmsOCxcKHBcZxp3l/qPiJJEiRJgq7rTbkbQoxAYtWCfPTRR3j66aexYsUKXH/99aOsrArTA1pBtBqGgfSxNFCnK8oq0dRStLJobcWt0bHFc1ZJ6bBawZqVqMVCg3VYa5cUi3pTmDvOWlyX8qlli2KO4yzT4IKYPCRWLUgkEkE6nUZHR0fRMRMVrYUm2qWcBhpB6p0UUOtdYItGU0vRSqK1mRtXTASrnLNmTbGoN9VYaLD2nFaOrrcSiqKY3bDi8fi4x9zhcEBVVcRisabevSE+gcRqk8OiJw6HA7FYrOzN1oqiNX0iDSNZu3k0QzS1FFY8ZxOBzb9duvUAjROtrZJi0Qgmc85oUVA/2LOOLSrYQuP9999Hb28vrr32WrhcLqiqCofDgWAw2Db3m3aAxGqLIIqi+SVtNtGaOZ1BPlqDbTPhfBeqJoqmlsJK56wSqNCkvm1BWzHFohFU4vtJi4L6UmpRkMlkcPjwYbz++uvo6urCzTffDI7j2vJ+08qQWG0xmGhlBQTNIFozH2SQD1X3Id7s0dRSNENf9HbrfV6OWp4zWhTUBnbOxtoB0rVdP9i1nc/nEYlEio5jYva1117D3r17MWfOHNx0002YNm1aHWdL1BISqy3KWNFarsCikaI1ezaL3FCVkt+F87mpntaIppbCiqK1lRYFtaDQ+LwafshUfV57Cltcs3sKXdu1x2azmXmnxa5t5ghQWERlGAb6+/vx6quvQlVV/Omf/ilmzJhR59kT1YbEaoszWdFaz1y73FAO2bNTz/filfNdqGytF00thVUaQpBwqpxq9LJvN4P/RsJ8OgGYCw3KUa0drOq/1LVtt9tN7+BwODzumFOnTsHlcmHWrFm1nC5RB0istglWFq25UA7ZD6Zw42+jaGopGiVaOY6DoijgeR6RSISE0wSYjGhlESeqPq8PY31qbTYbZFkGgIa2cm1FKrVbUxQFTqcToVCobe7v7Q6J1TaDdbJhfc7LPezqIVrz0Twypyd3wy8WTQXQtvl71d5qLgUTTs3aftQqMAFkGEbJqB0Z/NePcq2ARWle0N4AACAASURBVFGELMvgeb7urVxbEfasKeWswGzCcrkcQqEQLYzbCBKrbcpERWstrXjyyTwyJyYoVimaWhYWtauVaCUT9OpTGLWLRqPmQ5sM/utLJcKJUazDElEZlQYYnE4nVFVFJBIZd/FAtDYkVtscFhlrpGg1sgbS71QeleDV85X+FE2tiGrkRxZC29C1h0XtOI4zt57Jy7P2FFafT7R5RWGHJdppqIxKdmbY/V0URQSDQfoOtCkkVhvA9773PTidTnAcB0EQ8Hd/93eIxWLYtm0bAoEAfD4f7r//fkiSVLc5NVK0VtxylaKpU6IaolVRFFM40TZ0beF5Hpqmged55PN52mquMdUqEOQ4zkzXoAVdcdgx0nW96M6MzWYzdxRauUiWKE8xsSrWeyLtxte+9jUoimL+/Morr2Dx4sVYu3Yt9u3bh3379uGOO+6o23wymQwCgYApWpkALHajZTdhl8sFr9c7JdHKcRw4kYORKf5/x4umMm/JYDBIN7EKSKfTZk9t1vq0UtHK0kaSySSCwWAdZtvejDX4Z1vN7HtJorW6sJSWauRBGoaBaDQKjuMgSRJ8Pt+kW7m2IqyhQiaTKXkvkWUZLpcLuq5TlJooCt/oCbQbfX19WLZsGQBg2bJl6Ovra8g8mGgNBAKw2+3o7OyEy+UqOj6RSCAQCCCfz8Pr9ZpblxOm2PJIAMQ5IsR5nwhVh8MBr9eLZDJJq+1JkE6nEQwGkUgkoKoq3G43BEEoOl6WZaiqCl3XKV+yxjDfSLvdjmAwaFaa53I5hMNh6LpuXv+sPzoxeURRhM/nq0nBDiuWCwQCADC1+2OL4HA44PF4EIvFiuad8jwPr9cLm80Gv99PQpUoCUVWawjHcXjssccAANdddx2uu+46RCIR08dP07SGt/ArjLS63e6aR1o5kYMxJg+Aoqm1JZPJIBQKmdH0sZXohUU9FE2tPZVsQ7NOPjzPQ5IkyLJM+ZGTRJIkOBwO6Lpe85QWZhfI7o9WauRRL1RVBc/zJe/dDofDbATQ6Gcg0RyQWK0h3/jGN6BpGiKRCP7zP//T0t01MpkMhoeHYbfbzfSAaDRa9OE4VrRWvP1VeMUJgDhLBK9Rbmo9KBStiqLAMAyzqCcSiVBBQ40p9KmtdBHGCoCYaPX5fCRaK4RtQ2ez2bovwtj90el0wuPxNLyRRz1gKUTlrk/mAx4IBMi7lqgYEqs1hEVQVVXFlVdeiYGBAXObVdM06Lo+Kp/VCqTT6QtEaywWq5po5cQRUUrR1MaRyWTMCL8oiiRS68BUfWqZaC3Mj6SinuKwRS/LBW4UyWQSyWQSDofD9A2thlOH1agkes26g6XTafj9/inf4/v7+7Fr1y4YhoGVK1di7dq1o94PBALYvn07otEoJEnC5s2b4fF4AAD//d//jWPHjiGfz2PJkiW4++672zptoxmgnNUakUqlzIdSKpXCu+++i1mzZqGrqwuHDh0CABw6dAhXXnllI6dZFCZaQ6EQnE4nOjo64HQ6i45nOa2GYcDr9UKSpHG//JyDg3gR5aY2EpfLBU3TEA6HMTw8jFgsBkVR4PF4IIq0fq02sixDURSEQqEpR0RZCkcwGATP8/D5fCVzzdsNtuh1Op2jcoEbDUuxSSaTUFXVXCg2OzzPw+PxmLsFxYSqJEnwer2IRCIIhUJTvsfn83ns2LEDX/nKV/Dwww/j7bffxtmzZ0eN2b17N5YtW4a///u/xy233II9e/YAAN577z289957eOihh/Dwww/jzJkzOHHixJTmQ9Se5v+2WJRIJIInnngCwMgX6+qrr8Zll12GefPm4cknn8T+/fvh9Xpx//33N3aiZZhspJXdnJLJ5KhiHcHzSYEPRVPrS+G2KCsGAUZ6oIdCoVGen4VG9cTkqGUuMBOtLD+SKtGbo8sac+pgqThA87ZyZbnX0Wi0qGsFu+dwHAe/31+1iPLAwAA6OzvR2dkJAFi6dCn6+vowc+ZMc8zg4CA2bNgAAFi0aBEef/xx871MJmPe3/L5vOnfTVgXEqs1orOzEw899NAFr8uyjK997WsNmNHUmKhoZYUGhZYuhaKVclPry1iLpPHIZrPQdX2UaG3WB2mjkSQJTqez5gb/hmFcUNRTy5bJVoV5eTZLa06WP96srVyZBVipIAOzzovH44hEIlX9fF3X4fV6zZ89Hg8GBgZGjZk9ezZ6e3uxatUqHD16FKlUCrFYDBdffDEWLVqE7373uwCAG2+8cZTIJawJiVViQhSK1kL3gImIVpvNRtHUOsEiG7lcruLjTaJ18hSLXteDanoiNwvN7mTBvmuF/rpWbuUqCAI0TUMikShZxa8oipmKUS8BPjbt7M4778TOnTtx8OBBLFy40Gy84ff7MTg4iO9973sAgB/96Ee49NJLsXDhwrrMk5gcJFaJSZFOpzE0NGRakDD3gGI32Xg8jlwuZ1ontfN2Zb1g0dRS23SlKHyQKopCorUMlUSv60FhJXor2yex490K7WmZvy5r5WpFqzLWzbDU8WZiNpfL4dy5czW7x2uaNmpxEgqF4Ha7LxizZcsWACM5w729vXC5XHjrrbcwf/5807/4sssuw+nTp0msWhwqsCKmRCqVwtDQEHRdhyRJ6OjouMDEnFnvOBwODA8PY3h4GADg8/nq2mq2XRhrOD/VyEYul4Ou64hEImbUzmazVWm2zU8xg/9Gk0wmTXsgj8dj+l82O+x422w2BAKBpheqhTB/XZYiYIUCOna8RVEsebxZ7jRrkFDLYMS8efMwNDSE4eFhZLNZHD58GF1dXaPGRKNRc4G2b98+rFixAsBIysDJkyeRy+WQy+Vw8uRJS9tKEiNwpS6ojz76iEJfxIRgkVYWhfvd736Hl156CZs2bcKcOXNGjeU4Di6XC06nk2x4qgTLBZ5sNLUS2JalIAhNlWdXC6rVZ74eOBwOSJKEbDZr7nQ0G810vKsBsypzOBwX5P3XA1a0Vup4s0JZQRAQDAbrtng4duwYfvWrXyGfz2PFihVYt24dXnjhBcybNw9dXV04cuQI9uzZA47jsHDhQmzcuBGiKCKfz+OZZ57ByZMnwXEcLr30UrMQi2g8s2fPHtdDjMQqURNSqRR27twJh8OBz33ucyXbfJJonTocx5mLhHrZf7WzaC00+G82uzW73Q5ZlpvO85MV9YTD4ZZLaShH4T2yXrnIlRxvm81m5rCGw+GazodoD0isEnXBMAwcOXIEv/71r3Hrrbfi6quvNnOJykVDSLROjkZHm9pNtDaDRVIl2O12SJJ0Qftdq8E6I9E9YQSWO1qrXOTCorVSkVxZluFyuRAKhdoiyk3UBxKrRM2JRCLYsWMH7HY7NmzYMCof1eFwTEi0sq0vekAVpzC6F4lEGh5tYsUhoihauqJ5KrRidM9ms0GWZUuKVnYfCIfDTRMBrheswKyarVwrKVrjeR6appmOLq3yPSCsAYlVouZ89NFHCAaDuOKKK4qOcTqdpgFzubxKEq3FsXJ0rxVFa6XRpmbGSlZlhRZgpSySiE9ykaeS1sHSiICRoEMxXcBqEqLRKGKx2JTmTRDjQWKVsBQkWidPs0T3mGi12WxNXRDTbtG9RotWViTYaAuwZoPlIufz+QlFyCstolJVFTabzVKOF0TrQWKVsCQkWiuHPVSa7W9vVtHa7tG9euciN6JIsBVhaR1A+VaurPOXrutFF76iKELTNKTTaei6TueFqCkkVglLw0Qry5sj0ToaRVFgs9maOrrH8zwkSYLdbrdk+kIhVjH4twKForVWaR1WTmtpVgoj5PF4fNQ9leWdptPpktv5kiRBkiTouk7nhagLJFaJpoBE62hYJXQjPBZrhZVFK/OMzOfziEajFEUqoFYR8kqie8TkGbvYAFA2zYLtKnAch2Aw2LQLZKL5ILFKNBUulwuqqpr5V5WKVquJn6nAHuLNHE0tBcdx5t9ohfPGLMBq2VChFajWYqMditasBM/z8Hq9pntIsfNmt9vhdrsRj8cRiUTqPEui3SGxSjQl7Sha2+0h3mjRSrmSk6PwvE10Z6OSPvNE9WA7NCwdgC02+vr6MH36dLN9sqqqcDgcVWnTTBCTgcQq0dQUitZoNFoyj7CZRSubdyQSabuHeCPSOihXcupM5LwVpllQ1K4+FHOz4DgOv/nNb7B//35cf/31uPnmmyGKIkKhEC3YiIZBYpVoCSYqWq20zVwKFk0tV/DQDtRLtDaLBVizUNiBbrwca0qzqC+VullwHIf9+/fjtddew1VXXYUbbrhhVEMXgqgnJFaJlqKVRCttiY5PrURrKxatWQ1JkkzRmkgkoCgKBEGghUGdqGRhwKLcgiAgEAggmUzi4MGDePPNN3HZZZdh9erVpq0gQdQLEqtES8JEK+ve0kyitd19PCulMGI3VdHabgb/jUaWZciyTB6ddURVVfA8XzL/2mazQdM0JBIJhMPhUe/lcjm8/fbbOHz4MP7qr/4KPM/XY9oEAYDEKjEJnn76aRw7dgyKouDhhx8GMGIyvW3bNgQCAfh8Ptx///2QJAmGYWDXrl3o7++HzWbDpk2bMHfu3LrNVZIkKIrSNKKVfDwnTrlt5lJU6itJVI/ChYHdbofL5TKPP4nW6iMIgilASy3oFEWB0+lEKBRqmgYdRPtQTKzSkokoyooVK/CVr3xl1GuvvPIKFi9ejG9/+9tYvHgx9u3bBwDo7++H3+/H1q1bcc899+CZZ56p61zj8TjOnTuHRCIBTdPg8XjMCtexGIaBaDSKUCgEURTh8/ngdDrrMk+e5825UdvCiWEYBuLxOILBIADA5/NVlFvndDrh8Xion3mdYNc4z/OmR2cikUAgEEA2m4XX64WiKBSxqyIulwuapkHX9aJCVRAE+Hw+CIIAv99PQpVoKuhuQRRl4cKFF4iBvr4+LFu2DACwbNky9PX1jXqd4zgsWLAAiUQCuq7Xfc7xeByDg4OjRKsoiuOOZfmuhaLV4XDUbG5MNDH/QoouTQ4mWgOBAIBPRCvHjV6QcxwHTdNoYVBHHA4HPB4PYrHYuKktyWQSgUAAmUwGHo/H3LImJge7xkVRRCAQKJra4nQ64fP5zO8N5Q0Tzcb4T3GCKEIkEoGmaQAATdPMB5Ku6/B6veY4j8cDXdfNsfUmHo8jHo9DkiR4PB4zL3S8AiYmWpnZuSzLVe3QwwoZDMNAMBgkkVpF2Hl2uVzwer1mQY/dbocsy1R5XieYVy2Aiq7xVCqFVCoFh8MBTdPM9B3KI66cSouoVFWFzWbD0NAQFXASTQuJVaJmjI10NYJGi1aHw0GiqQ6wPD1JktDZ2YlcLodQKEQRpDowFa9aJlpZ1yQSrZXBbNdKXeM2m81sLuL3+2mRTDQ1JFaJCaGqqhkx1XUdiqIAGImyslxCAAiFQnC73Y2a5gWMFa2ZTAaxWKysaGXVzBMVrYVdkSiaWh9sNhucTicikQg4joPH4zG7gNHxrw2yLMNms015YZBOp5FOp03haxhG0e9nO1PY3S4UChUdJ0kSJEmCrusNdz0hiGpAyULEhOjq6sKhQ4cAAIcOHcKVV1456nXDMHD69Gkz4d9qsJzWVCoFj8dj5nuNB+uyEwqFYLfbK85ptdvt8Hq9SKVSZNdTJxRFgSzLCIVCZioAy83zer2QZdkSkf5WQRAEeL1eGIZR1Qh2JpNBKBRCPB6Hoiglv5/thtPphKZpiEQiRZ0weJ6H1+uF3W6H3+8noUq0DGRdRRRl27ZtOHnyJKLRKFRVxfr163HllVfiySefRDAYhNfrxf333w9ZlmEYBnbu3In+/n7Y7Xbce++9mDdvXqP/hLLIsgxFUUpGWhks0mqz2caNtHIcZ1Y5RyIR2oKuA8zgv5xdD7MKo0jr1KlnEwtRFM2FRjlLulalMOe9VGGmw+GAqqpFi9sIohkgn1WCKALrlDRR0SqKIuLxOFKpFPWYbwCTMfhnopX8PicOE01sx6GetKtoZfeVcmlIqqrCbreT6wXR9JBYJYgyjBWt0Wi0pAhiotXhcCCfz1NBT51geXtTMfgvFK3xeJzOWxkqqTyvB4IgQJZlCIKAWCzW0kWLrHGJrutFr09RFKFpmpk+MdXFV39/P3bt2gXDMLBy5UqsXbt21PuBQADbt29HNBqFJEnYvHkzPB4PgBEXiF/84hcIBoPgOA5//dd/jY6OjinNh2g/iolVSgYiiPOwog5WiOX1ekuKVkEQYLPZEI/Hze4xrf4AbTTV2oJOJpNIJpOm9y2J1uIwL1QrFArmcjmEw2EIgmA6drDdjVahsNtaYdHqWFwuFxRFKdkIYCLk83ns2LEDDzzwADweDx599FF0dXVh5syZ5pjdu3dj2bJlWL58OY4fP449e/bgvvvuAwD8/Oc/x7p167BkyRKkUinKESeqChVYEcQYmGg9d+4c0uk0vF4vNE2DIAgARopAXn75ZcRiMei6bpr867oOh8NhFjgQ1YN1RWLm59XKlSST+uKwRhnZbNZyhYK5XM78zk2k+NHqsKYKpbqtMacLp9MJv99fFaEKAAMDA+js7ERnZydEUcTSpUvNpi+MwcFBLF68GACwaNEi8/2zZ88in89jyZIl5t9B90CimlBklSCKwNqyxmIxyLIMr9eLP/7xj3jyySexfPlyiKI4KuLKcvnGWl5RpHVq1MOrttCkvtDarF0jrSwfWNd1S3ueFn7nCiOtzZY3XmlTBeZHyxbI1WS8xi4DAwOjxsyePRu9vb1YtWoVjh49ilQqZS7sXS4XnnjiCQwPD2Px4sW4/fbbaeFHVA0SqwRRBsMwoOs6duzYgRMnTuCrX/0qpk2bVtS8vPAByiyVSLROnEZ41Y7trJTNZttKtPI8D7fbjUwmU3IL2mowb2SWd+7z+co6RFgF5mhRTmQrigKn04lgMFi3e8nYrfw777wTO3fuxMGDB7Fw4UJomgae55HP53Hq1Cl885vfhNfrxbZt23Dw4EGsXLmyLvMkWh8SqwRRho8//hi//OUvccUVV+CBBx6AKIrIZDLw+XxmZKGYaGX5dRRpnRiNdldoR9HKis4ikUjTVpSPzTu3umitJILN8uFzuRz8fn/NrsFKGrtomoYtW7YAGPmO9Pb2wuVywePxYM6cOejs7AQAXHnllRdEZQliKpBYJYgSHDlyBK+99hruuecezJ49G8CF6QHlRGthUQiJ1vJU0kqyXhS2A23VHvaVbkE3E4Wi1eVywefzmc0irPD3sQh2NpstGcF2Op1QVRXhcLhoI4BqMW/ePAwNDWF4eBiapuHw4cPYvHnzqDHMBYDneezbtw8rVqww/28ikUA0GoWiKPjjH/+IuXPn1nS+RHtB1lUEUYJoNAqn01myiw5rBiDLcknRymgn+52JUKnBfyOx2+2QZbllRGulPp6tgCRJcDqdDW8MwXKwS0WwmaetIAgIBoN1azt77Ngx/OpXv0I+n8eKFSuwbt06vPDCC5g3bx66urpw5MgR7NmzBxzHYeHChdi4caN5b3z33Xfx7LPPAgAuuugi3HPPPdR9jJgw5LNKEDVmrGiNRqMlI4MkWj9hMgb/jaQVRCuLYIfD4YZHsOsJsz9rhGhlbhPhcLjo59psNmiahmQyCV3X6zY3grACJFYJok4UitZkMlk217FQtEaj0abNF5wM1TD4byTNKFrZMWdirV2pZzezSncNZFmGy+VCKBRq+Ug3QYwHiVWCqDMkWktTzx7ztcZms0GWZTOf2aqitZWOebWodTczdsxLFVGxRgCGYSAYDLZVpJsgCiGxShANotB3lUTrJ8UlzNi9lSgUrbFYzDKCkOM4s0Cs1Y55tWC5pNXy2K30mDscDjNvOBqNTukzCaLZIbFKEA1msqKV53nEYrGWEK31MPi3AlYSrXa7HYqitPwxrxbVSO2o9Ji73W7YbDYEg8GW+H4TxFQhsUoQFoE1C5AkqWLRqigKOI5rWtFaaPBfqrik1Wi0aK2koIcYn8mK1koK10RRhKZpSKfTlmtlSxCNhMQqQViMdhGt7WSPVAxRFKEoCoARO7Rai9ZmsAFrFipdcFRauMbawuq6TueGIMZAYpUgLEqhaE0kEmWLPJpJtLarPVIxRFGELMs1PXfNZgPWLDDRCly44GBFWqUK11iuNmsf3MznxjCMC1qxEkQ1ILFKEBZnoqK1HsJnslBkrzS1OHesorxZbcCahcJzxzpk5fP5kkVUdrsdbrcb8Xi8ZQrcWEtbgqgmJFYJAsDTTz+NY8eOQVEUPPzwwwCAF198Efv37zejJrfddhsuv/xyAMCvf/1rHDhwABzH4e6778Zll11W8znyPA9VVeFyuZBIJMp6QFpNtMqyDLvdTpG9CqjWuWORvVJdkYjqwlqh5nK5koVUiqLA6XQiGAy2TIHb0NAQnn/+eXz2s5/FRRdd1OjpEC1EMbFKvdCItmLFihW48cYb8dRTT416fdWqVbjppptGvXb27FkcPnwYDz/8MHRdx49+9CNs3boVPM/XdI75fB66riMSiUBVVXR2dpYUrdlsFrqujxI+9ciLHEuhwX+pfufEJ7BzN9nUDla4BgDBYJAKdeoEW5ANDw+D4zjIsgybzYa3334bixcvBsdxEAQBmqYhm83i3LlzTX1uxm77C4KA06dPm/eYfD5f8/si0d7Q1UW0FQsXLqx466qvrw9Lly6FKIro6OhAZ2cnBgYGajzDT2Ci9dy5cwCAzs5OU9CMBxM+0WgUsizD4/HUrTe3y+WCpmmIRCK0BT0JcrmcuUBxuVzwer2w2+0l/4/NZoPX60UqlaJq/zrB8zy8Xi8AmOb9uVwO4XAYw8PD+P3vf49/+7d/wzvvvAOPx4NYLNYSiwiO40a1fvV6vbjiiivwxhtvAAAJVaLmUGSVIAD89re/xaFDhzB37lzcddddkCQJuq5jwYIF5hiPx9OQXt1WjrQWGvwHAoGq//52gwkf5rEryzJisdgF28escC0UClHhWp0ol2rhdDqxceNGZLNZvPjii3juueewatUqLF26tCnFXGE09f3338eePXvg8Xhw7733AhhZ+P/hD39AKpWC3W6ngiuipjTfN4ggqswNN9yA73znO/jWt74FTdPw7LPPFh3byBsyE61+vx/ASKSVidHxKIy0KopS9Uirw+GAx+NpqaIRq8BEazgchtPpNCOtgiDA6/Uin8+TUK0THMfB7XbDbreXNO+32Wzo6OiA2+3G+vXr8eUvfxkffvghHn30URw4cKBp8rfZNcVxnPnvGTNm4K677sLAwAB++ctf4tixY7jkkkvQ39+PWCwGjuOaPnpMWBsSq0Tbw4zTeZ7HypUrcebMGQCApmmjci9DoRDcbnejpmnCtoz9fj94nq9ItIZCIVO0apo2JdHKHt4Oh6OlikasSKFolWUZPp8PyWSypI8nUT1EUYTX60U6nS6ZaiHLMjRNQygUQjgcBjByX7njjjvwN3/zNxgeHsbevXvrOfVJUZh72tvbix07duDNN9/E4OAgZs2ahS1btmDmzJl45plncOLECUyfPh29vb0AGruQJ1ofSgMg2h5d16FpGoCRPNVZs2YBALq6uvCzn/0Ma9asga7rGBoawvz58xs51VHkcjmEQiEIgmCmB8TjccTj8aLpAaFQyDSon0xXJdZGsp0N/usNc4fIZDLQdR2yLMPr9SIej9M5qCHMr1bX9aJRUWYXZhgG/H7/uJFuRVHwZ3/2Z7WeblVgQvUXv/gF+vv78Sd/8ifo7+/HwYMHsWXLFkyfPh3Tp0/HjBkz8Jvf/AZnz57FzJkzAVCRFVFbyLqKaCu2bduGkydPIhqNQlVVrF+/HidOnMCHH34IAPD5fOju7jbF6969e3HgwAHwPI8NGzaYllZWhIlWp9NZUrQyJipaVVWFIAhk8F9HivWY53nerECnhUN1YXnYmUymZLEgs65q9qLCsSKzt7cXb775JrZs2QKn04nTp0/jxz/+MRYtWoQtW7aY40KhEA4dOoR9+/bhH/7hH8oWBBJEJZDPKkG0CRMVreXaSZLBf2Ng6Smltp9JtFYXh8MBWZZL+tUyuzCbzYZAIFB3i7hqUihUz5w5g3nz5iESiSASiWD27NnYv38/du/ejauvvhonTpzAtddei9WrV8MwDOTzeQiCgMceeww33ngjrrjiigb/NUQrUEysUsyeIFoMlh5QaU5rJpNBKBRCPB6/IKdVlmWoqkp9zOuIKIrw+Xzmtn+phQbrnBQKhWCz2eDz+eB0Ous429aBLfBKFVGxc8O2/ZtZqAIji51kMokf/vCHeP755/HBBx9AVVXMnj0bR48exauvvoovf/nL+PznPw+bzYbdu3fjvffeM31kASAWi1EnK6LmUM4qQbQohTmtbrcbnZ2diMViSCQS4wogJlptNhtUVYUoikgmk2TwX0eY2XypPMnxyOfziEaj4HkekiTB5/MhHo8jmUzWcLatQaU7B5IkmZZ2rXBcDcNANBrF448/jjlz5uDzn//8KPGt6zouvvhiXHLJJQgEApg7dy5uuOEGM6cfAH7zm98gGAyis7OzEX8C0UZQGgBBtAmiKEJVVTgcjpKi1eVyweVyIR6Pw+l0mg+1ZrHeaUZYoU46na5K/iMTrXa7nURrCVwuF5xOZ8nWwCyHleM4BIPBlvoefPTRR9i9eze+9KUvXZBzunfvXvz+97+Hz+fDO++8g/Xr12PVqlUAPkkfyOVyZoSVIKoBtVsliDYnm80iGAyaorWjo8PMaQWAcDiMN998Exs3bjQN/pPJpBlpJdFaG8qZzU8GFmllrUAp0joajuPMVqildg4cDgdUVUUsFkM0Gq3jDKtLsUr9wcFBfPzxx6ZQzeVy5rg1a9Zg5syZOH36NL761a9i3rx5AEYismwMCVWiXlBklSDaFCZa7XY7Xn/9dTz//PO4++67sXDhwnHHFxZikWidOsyv1jAMRCKRmpqqcxxnWjG1e6FcMYeFsbBdiGb1EmYdYRVaeAAAHHpJREFU7wqF6ltvvYVAIAC73Y6bbroJqVQKP/7xj9HV1YWbb77Z/L8HDhzA9OnTcfHFF5uv5fN5cBxHfqpETSE3AIIgLiAej2Pnzp1wOBzYsmULOI4razjPRGs+n0csFiPROglYtLreFfztLlpZm9pS9muCIJhR11Ao1HSdmfL5PPbt24dwOIxbbrkFqqoil8th+/bteO+993DDDTfg2LFjcLlcWL16NYaGhvDSSy9h1apVWLRoEY4cOYKDBw/ii1/8oilWC1uvEkQtoTQAgiBG8e6772L37t1Yt24dPv3pTyOZTF7QXGA8Cgux3G43crkcidYJwARTI9qlMnuyeDxuFmK1g2hlRYbJZLLkdr7L5YKiKFVzv+jv78euXbtgGAZWrlyJtWvXjno/EAhg+/btiEajkCQJmzdvhsfjMd9PJpP4wQ9+gCuvvBIbN26s6DNZE4n3338fR48exfXXX49IJIJoNIrvfOc7AIAlS5bgn//5n/HpT38aS5cuBQC88cYbOHbsGPL5PL7xjW/A6/Wav5OEKtFoSKwSRBvy3HPP4eOPP8ZXvvIVswFCYU7rWPeA8chkMggGgyRaK4QJplQqhVAo1NC5tJNoZQWD4XC4qNUUy2HlOA5+v78q13A+n8eOHTvwwAMPwOPx4NFHH0VXV5fZ8QkAdu/ejWXLlmH58uU4fvw49uzZg/vuu898/4UXXiiallPsM3mex7XXXotQKITTp0+js7MTkiSZeeivvvoqXnnlFdx66624+uqrkU6nsXz5cixduhSpVAqKooz6XQRhBehKJIg2ZNmyZfjyl79sCtVCstksAoEAhoeHYbfb0dnZCZfLVfR3MdGaTCbhdrvhdrup8GIMLpcLmqYhEomUTbOoJ0y0BoNBcBwHn8/XMp6ZTICKoljSvN9ut6OjowOZTAZDQ0NVW2wNDAygs7MTnZ2dEEURS5cuRV9f36gxg4ODWLx4MQBg0aJFo95///33EYlEsGTJkoo/k4lLVkgXCARw6NAhBAIBLFiwAP/yL/+CAwcO4Ktf/SrWrl2Ljz76CK+//joMwzDTewASqoT1oKuRINqQmTNnlt3aY6KVFWSUE63pdJpE6xh4nofH44EgCJbudmQYBuLxuFkZ3+yi1Wazwev1IplMIhKJFB2nKArcbjdCoRDC4XBV56Dr+qitdI/HA13XR42ZPXs2ent7AQBHjx5FKpVCLBZDPp/Hs88+izvuuGPCn9vf34/vfve7MAwDHo8H7733Hj766COk02nY7Xb8+Z//OebMmYMzZ85g27Zto6zS2D2BhCphNSgNgCCIkmQyGQQCAbMoSJblkukB6XTafDC2c3oAa91ZrurcSjDRWpgekEwmi3ryWhHWfrZUTjArosrlcvD7/XXLHR67QLzzzjuxc+dOHDx4EAsXLoSmaeB5Hm+++SYuv/zyUWK3Uk6cOIE1a9Zg/fr1AIB9+/bh7NmzmDZtGqZNm4bt27djzpw5OHHiBNauXWt6pxKElSGxShBERZBorQyO46AoCnieRzAYbBqRN5ZC0cqilFYWrZXmBDudTqiqikgkUpUGDMXQNG2Uh2soFILb7b5gzJYtWwAAqVQKvb29cLlcOH36NE6ePIk33ngD6XQa2WwWDocDt99+e9nPPXXqFBYtWmT+vGbNGvz0pz/F4OAg1q5di+uuuw66ruOOO+4wxTBt+xNWh8QqQRATohqiNRqN1r0Svh6w4rRWMuBnotXlcsHr9SKVSiEej1tKtLLGCuWKqFgb4aGhoZqnZMybNw9DQ0MYHh6Gpmk4fPgwNm/ePGoMcwHgeR779u3DihUrAGDUuAMHDuD999+vSKgCwGc+8xm8+eabuPHGG6GqKgRBwCWXXIKXXnoJbrcbt99++wUilYQqYXVIrBIEMSkKRavb7Z6QaGU+liw/rxWQZRl2ux26rrdk9Ji5BVhJtDIBCqBkFJtdo6lUCkNDQ3WZsyAI+NznPofHHnsM+XweK1aswKxZs/DCCy9g3rx56OrqwokTJ7Bnzx5wHIeFCxdWbE9VCvZ7e3p6sHnzZtjtdkQiEaxcuRLXX389HA6HOZZEKtEsUFMAgpgEL774IoaGhi6IlLQzTBAIgoBYLFY2smi32yHLctOLVrb9nE6na7qtbDWYJVSjRGulUWxZluFyuaDrestEu8sxODiIn/3sZxAEAeFwGNOnT8eXvvQls60qQVgVagpAEERNyWQypt1VYXpAMYHQCpFWtv0ciUSQyWQaPZ260shIK+vCVSqKzfM8NE2DYRh1LaKyAjNmzMDf/u3fYnh4GOFw2LS/otxUolmhyCpBlGHfvn347W9/a1oy3XXXXXjiiSdgGAZEUURnZyceeughJBIJPPvss+jv7wfHcVi+fDnWr18Pnudx4MAB7N+/HxdddBEOHToEt9uNjRs3mh6LrQgTrZVGWh0OByRJagrRynEc3G43DMNAJBKxVP5mo2DCnUWYa3FMeJ6H2+1GJpMpGcV2OBxmO9tSHavaCRKqRDNAkVWCmASDg4N444038OCDD0LTNAwPD8MwDKxdu/aCNICnnnoKqqpi69atSKfT+MlPfgKPx4Prr78ewIhJ+FVXXYXvf//76O3txRNPPIHvfOc7phF3q5FOpycUaU2lUkilUnA4HJaOtNrtdiiKglgshlQq1ejpWIZkMolkMgmn0wmv11t10cqswMpFsVVVhd1uRyAQaLtodylIqBLNDIlVgigBz/PIZrM4e/YsFEVBR0fHuOMikQj6+/vxgx/8AHa7HQ6HA6tWrcJbb71lilVFUbBq1SpwHIerr74a//M//4Njx45h2bJlU5pjMBjEU089hXA4bLZaXLVqFWKxGLZt24ZAIACfz4f7778fkiTBMAzs2rUL/f39sNls2LRpE+bOnTulOZRiKqLV4/GYUTQriFZFUSCKYkkPz3ZnPNEaj8endLxUVS1rBSaKIjRNQzqdht/vp2g3QbQQJFYJogTTpk3Dhg0b8NJLL+Hs2bO49NJLcdddd10wLhAIIJ/P47vf/a75mmEYo0y9We9xhtfrvaCjzWTgeR533nkn5s6di2QyiUceeQRLlizBwYMHsXjxYqxduxb79u3Dvn37cMcdd6C/vx9+vx9bt27FwMAAnnnmGTz44INTnkc5CkVroXtAM4hWVkSVTCZpW7lCmGhl528yopUVUbH82GK4XC4oigJd10uOIwiiOSGxShBluOaaa3DNNdcgmUzil7/8JZ577jl0dnaOGuPxeCCKIr7//e8XbTGq6zoMwzAFazAYRFdX15Tnp2kaNE0DMJI3OGPGDOi6jr6+Pnz9618HACxbtgw//OEPcccdd6Cvrw/Lli0Dx3FYsGABEokEdF03f0etSafTGBoaMvMKWZenYlvqjRatrOq9VS2pas1kz18lRVQcx5mLQL/fT+eHIFoUSmIhiBIMDg7i+PHjyGazEEURNpvN9HZk0VRgRDAuWbIEu3fvRjKZRD6fx9DQEE6cOGH+rmg0itdffx25XA5HjhzB4OAgLr/88qrOd3h4GB988AHmz5+PSCRiClBN08yIYCU9y+sB87zUdR2SJKGjo2OUB+R44wOBANLpNDwej9klqlbwPA+PxwNBEBAIBEgITZGx549t7Y+FHXe27V/suNvtdnR0dJiLHzo/BNG6UGSVIEqQy+WwZ88eDA4OQhAELFiwAPfccw9EUcTvfvc7bN26FR0dHfjmN7+JL3zhC3juuefwgx/8AKlUCh0dHfjsZz9r/q758+eb2++qquIv//Ivq1pclUql8NOf/hQbNmyA0+mc0P8d27O8nhRG3gpzWiuNtFYjJ3IsrJgnGo0inU5X7fcSpQvpWPFaueOuKAqcTieCwSCdH4JoA0isEkQJZs+eXTSf8xvf+Maon10uF7q7u0v+vo0bN1alS81YcrkcnnjiCVxzzTW46qqrAIwUpbDtfV3XoSgKgMp6ljcCK4hWFjXnOK5kMQ8xddj5Yz67HMchn8+XPO6CIEDTNORyOZw7d47OD0G0CZQGQBBNjmEY2L59O2bMmIE1a9aYr3d1deHQoUMAgEOHDuHKK68c9bphGDh9+jRcLlfd8lUrgaUHhMNhSJIEn89XUXpANps10wMmEym22Wxm9TrLLyZqD9u+z2Qy5mJhvLxvp9MJn8+HWCyGQCBA54cg2giKrBJEk/Pee+/hd7/7HWbNmoV/+qd/AgDcdtttWLt2LZ588kns378fXq8X999/PwDg8ssvR39/P/7xH/8Rdrsd9957bwNnX5zCyGmhe0CxSOtUfD5lWYbdbidLqjrDitfC4TCy2SyAkVzUM2fO4PXXX8fNN9+MadOmmW18h4aGzHEEQbQP1MGKIIimwOl0QlVVAKgol7SSjkrMkoqNIeoD6wCWz+cRiUQueN8wDJw6dQovv/wyfD4f1q9fb6axEATRuhTrYEVilSCIpqJaopW9XhjVI2qPzWYzW6GW6gAmyzKcTicOHjyI559/HoqiYN26dZg1a1YdZ0sQRD0hsUoQREsxFdEqCALy+Tyi0SjlPtYR1gEsHA4XTbfgeR6apsEwDASDQXPciRMnsHfvXkiShPXr12PGjBn1nDpBEHWAxCpBEC0JE62GYSAWi5UUrazlKzCS4xqPx0ms1gGWbpFKpRCPx4uOY04Q0Wi0aFrGqVOnwPM8FixYUKPZEgTRKIqJVSqwIgiiqSksrComWjOZDARBgCRJZrSOFWIxAUWitTZUkm7BXABsNhsCgQAymUzR33fJJZfUaqoEQVgUsq4iCKIlSCaT8Pv9iEajUFUVXq8XdrsdZ8+exQ9/+EMcP358VLV/Mpk0O1N5vV7IstzQ5gitBiuistvtCAaDRYWqKIrw+XwwDAN+v7+kUCUIoj2hyCpBEC0Fi7Q6HA68+eab2L9/P/7iL/4CHR0dJcdTpLV6VFpEJUkSJEmCrutIJpN1nCFBEM0E5awSBNFyhEIhbN++HXPmzMHdd98Nn89nFlSVi9wx708SrZODedbqul6yiMrtdpudwlhjAIIg2hsqsCIIoi3o7e3Fyy+/jA0bNmDRokXm6y6XC6qqkmitEayKv5xnrd1uh9vtRjweH9djlSCI9oUKrAiCaHkCgQCOHj2Kr3/965AkadR7iUQCiUQCLpcLbrcbuVwOsVisqGgtHE/pAaVxOByQZRmRSKTkIkBVVTgcDgSDwbJWYwRBEAyKrBIE0ZawSGs50Vo4niKtF6KqKnieRzgcLnpMBEGApmnIZrMIhUJ07AiCGBeKrBIEQRTAIqeSJFGkdRKIomhu55cqjnK5XFAUBeFwuKTHKkEQRDFIrBIE0dbE43HE43FIkmRG/6LRaFGrpbGiNZlMIpFItJVolSQJDocDuq4XLY5i1lWCIGBoaIha2hIEMWkoDYAgCKIASZKgqmpZ0cpg6QHtIFpZFT87NsWw2WzQNA2JRALhcLgqn93f349du3bBMAysXLkSa9euHfV+IBDA9u3bEY1GIUkSNm/eDI/Hgw8++ADPPPMMUqkUOI7DzTffjKuvvroqcyIIorpQGgBBEEQFFEZaPR4PRVrPY7fboSgKotFoyeIoWZbhcrkQCoVKeqxOhHw+jx07duCBBx6Ax+PBo48+iq6uLsycOdMcs3v3bixbtgzLly/H8ePHsWfPHtx3332w2+247777MG3aNOi6jkceeQSXXnrpBQV4BEFYF+pgRRAEMQ7xeByDg4NIJBLweDzweDwQxeLr+0QigUAgAADwer0tJYZUVTVb1RYTqoIgwOv1QhRF+P3+qglVABgYGEBnZyc6OzshiiKWLl2Kvr6+UWMGBwexePFiAMCiRYvM96dPn45p06YBADRNg6IoJa21CIKwHiRWCYIgSjBWtGqaVlK0xuNxU7T6fL6mFq2CIMDn85Wt4nc6nfD5fKZgL9YMYLLoug6v12v+7PF4oOv6qDGzZ89Gb28vAODo0aNIpVIXiNKBgQFks9mi3cwIgrAmlAZAEARRASw9QJZleDweZDIZxGKxoukBhekEPp8PyWSyqarhWS5uuSIqVVVhs9nqXkTFcaNT2+68807s3LkTBw8exMKFC6FpGnj+k3iMruv4+c9/ji984QujXicIwvqQWCUIgpgAsVgMsVisZUUrq+LP5/NmhHg8RFGEpmlIpVLw+/01zdHVNA3BYND8ORQKwe12XzBmy5YtAIBUKoXe3l64XC4AQDKZxE9+8hPceuutWLBgQc3mSRBEbaDlJUEQxCSIxWI4d+4cUqlUy6QH2O12eL1eJBKJkq1QWfFZOByGrus1LyabN28ehoaGMDw8jGw2i8OHD6Orq2vUmGg0aqYf7Nu3DytWrAAAZLNZPP744/jMZz6DT3/60zWdJ0EQtYEiqwRBWJJgMIinnnoK4XAYPM/j2muvxapVq/Diiy9i//79kGUZAHDbbbfh8ssvBwD8+te/xoEDB8BxHO6++25cdtllNZ2jYRiIxWKj3AMymQyi0WjRrfN4PG66B7A8z0QiUdN5VoKiKBBFEaFQqGjOKc/z0DQNhmHA7/dXPTe1GIIg4HOf+xwee+wx5PN5rFixArNmzcILL7yAefPmoaurCydOnMCePXvAcRwWLlyIjRs3AgCOHDmCkydPIhaL4eDBgwCATZs24aKLLqrL3AmCmDrks0oQhCXRdR3hcBhz585FMpnEI488gi996Us4fPgwHA4HbrrpplHjz549i//6r//Cgw8+CF3X8aMf/Qhbt26ta34ix3GQJAmKopQVrWy8y+WC0+lsmGgVBAFut9vsyFUMh8MBVVURi8VKeqwSBEFMlmI+q5QGQBCEJdE0DXPnzgUwUm0+Y8aMCyrAC+nr68PSpUshiiI6OjrQ2dmJgYGBek0XwCeR1nPnziGdTsPr9ZpdnIqNj8fjCAaD4DgOPp/PzLOsB06nE5qmIRKJlBSqqqpCURQEAgESqgRB1B1KAyAIwvIMDw/jgw8+wPz583Hq1Cn89re/xaFDhzB37lzcddddkCQJuq6PKp4Zz96oXhiGgWg0ahZieb1epNNpxGKxcSOtTLTWKz2AFVEZhoFgMFg055QVUWUymZoXUREEQRSDxCpBEJYmlUrhpz/9KTZs2ACn04kbbrgBt9xyCwDgxRdfxLPPPotNmzaN+3/H2hvVm6mIVuYeUG3RarPZzO38Usb9LpcLiqJA13VL5NQSBNG+UBoAQRCWJZfL4YknnsA111yDq666CsDIljTP8+B5HitXrsSZM2cAVGZv1CiYaD137hwymQx8Pl/Z9IBYLIZgMAie56uWHiDLMhRFKdkKleM4eDweOJ1O+P1+EqoEQTQcEqsEQVgSwzCwfft2zJgxA2vWrDFfL9za7+vrw6xZswAAXV1dOHz4MLLZLIaHhzE0NIT58+fXfd6lYKJ1cHCwrqKV53mzA1QwGCxaxW+329HR0YF0Oo2hoaGSxWEEQRD1gtwACIKwJKdOncK///u/Y9asWeZ2/m233Ya3334bH374IYARv9Lu7m5omgYA2Lt3Lw4cOACe57FhwwbT0sqqcBwHRVEgy7LZHrSce4AkSXA4HBWnBzgcDsiyjEgkgkwmU3ScoihwOp0IBoNIp9OT+nsIgiCmQjE3ABKrBEEQDWasaC00uC82vpxoZa1QOY5DOBwuWhwlCAI0TUMulyvpsUoQBFFrSKwSBEFYnELRmkwmEYvFKhat8XgcyWQSwEgVv9vtHvXaeDidTqiqinA4bOkWsARBtAckVgmCIJqEqYjWbDYLQRAQDoeLphQw6ypBEBAMBpHNZmv1pxAEQVQMNQUgCIJoEgzDQCQSwblz55DL5dDR0WG6IBQbn0gkkM/nIQgCOI6DzWYbd6zNZkNHRwdyuRz8fj8JVYIgLA+JVYIgCIuSz+crEq1+vx8ej8fshhUMBiGKIj788EO8/fbbZoRVlmVomoZQKNSwhgkEQRAThcQqQRCExSkUrfl83hSt2WwWzz77LPbs2YOhoSGzip9ZZHk8HgwODuJf//Vf8Yc//AE8z8Pv95dsBkAQBGE1KGeVIAiiyeB5HqFQCNu2bcONN96Iz3zmM0Wr/R0OBwDgV7/6Ffr6+rB69WpcffXVRVMKCIIgGgUVWBEEQbQAhmHgjTfewKFDh/CFL3wBixYtgiRJSCQSiMfjowqxVFWF3W5HMBhEJpNBNBrFq6++iuPHj2PNmjVYunQpiVaCICwDiVWCIIgmJxqN4he/+AV8Ph9uv/12s4iK53koimKK1nQ6DVVVkU6noev6BVHXSCSCV199FZ/61KdwxRVXNOJPIQiCuAASqwRBEE3OCy+8gPnz5xcVmDzPQ1VVSJKEUChUUYcrgiAIq0BilSAIok3gOK5oDitBEIRVIZ9VgiCINoGEKkEQrQSJVYIgCIIgCMKykFglCIIgCIIgLAuJVYIgCIIgCMKykFglCIIgCIIgLAuJVYIgCIIgCMKykFglCIIgCIIgLIvY6AkQBEEQ9aO/vx+7du2CYRhYuXIl1q5dO+r9QCCA7du3IxqNQpIkbN68GR6PBwBw8OBB7N27FwCwbt06LF++vO7zJwii/SCxShAE0Sbk83ns2LEDDzzwADweDx599FF0dXVh5syZ5pjdu3dj2bJlWL58OY4fP449e/bgvvvuQywWw8svv4wHH3wQHMfhkUceQVdXFyRJauBfRBBEO0BilSAIogFkMhn8x3/8B7LZLPL5PK666iqsX78ew8PD2LZtG+LxOC666CLcd999EEUR2WwWP//5z/HBBx9AkiR88YtfREdHx4Q+c2BgAJ2dnejs7AQALF26FH19faPE6uDgIDZs2AAAWLRoER5//HEAwDvvvIPFixdDlmUAwOLFi9Hf349rrrmmGoeDIAiiKJSzShAE0QBEUcTXvvY1PPTQQ/jWt76F/v5+nD59Gs899xxWr16Nb3/725AkCfv37wcA7N+/H5Ik4dvf/jZWr16N5557bsKfqes6vF6v+bPH44Gu66PGzJ49G729vQCAo0ePIpVKIRaLVfR/CYIgagFHbfkIgiAaS3d3twTgDQAPAHgewMyenp5sd3f3tQD+v56enlu6u7tfPv/vt7q7u0UAZwFM6+npqfgm3t3d/XkAt/T09PzV+Z83A1je09Pz/xSMmQ3ghwAuBvA6gM8BuALAXwNw9PT0/OP5cd8BEO/p6Xlkqn8/QRBEKSiyShAE0SC6u7uF7u7uIwDOAfg1gJMAQj09PdnzQz4AMOf8v+cAeB8Azr+vA5hYHsDI75tb8PNFAD4qHNDT0/NRT0/P3T09PUsBbD3/ml7J/yUIgqgFlLNKEATRIHp6enIAPt3d3e0B8CsAl40zjEVOuRLvVcohAIu6u7svBvAhgD8HsKlwQHd3dyeAQE9PTx7A/wvgifNvvQzgf3d3d7NcgHXn3ycIgqgpFFklCIJoMD09PSEA/wNgJQDP+W1+YHT00oxsnn9fAxCY4OdkAXwdI8Kzf+Slnj90d3f/r+7u7jvOD1sN4N3u7u7jAGYA+P75/xsA8A8YEbyHAPyv868RBEHUFIqsEgRBNIDu7u5pADI9PT2h7u5uF4C1AP4PgNcAbATwCwBfBLD7/H/57/+/nTvEYRAIwij87lDVi81BMFT1JvQAEyTBkFBZX93DVLBNCQkCA4j3qd3Z3WT0n8mW/aucj1vmVX8yswf6Re0+W7dAu/L2wT9plaRdmKxK0jGuwDMi3kxJ5ZCZHVADVUR8mGZSm3K/AS6lXgG3A3qWpN35G4AkSZJO6ws0MqM9XQFJZgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 9))\n",
    "ax = fig.gca(projection=\"3d\")\n",
    "\n",
    "min_score=0.645\n",
    "\n",
    "split = 1\n",
    "xs = list(step[:split+1])\n",
    "ys = list(score_2[:split+1])\n",
    "xs = xs[:1] + xs + xs[-1:]\n",
    "ys = [min_score] + ys + [min_score]\n",
    "zs = [0.99]\n",
    "add_plot(ax, xs, ys, zs, \"skyblue\", zdir=\"y\")\n",
    "\n",
    "xs = list(step[split:])\n",
    "ys = list(score_2[split:])\n",
    "xs = xs[:1] + xs + xs[-1:]\n",
    "ys = [min_score] + ys + [min_score]\n",
    "zs = [0.99]\n",
    "add_plot(ax, xs, ys, zs, \"deepskyblue\", zdir=\"y\")\n",
    "\n",
    "split=1\n",
    "xs = list(decay[:split+1])\n",
    "ys = list(score_1[:split+1])\n",
    "xs = xs[:1] + xs + xs[-1:]\n",
    "ys = [min_score] + ys + [min_score]\n",
    "zs = [100]\n",
    "add_plot(ax, xs, ys, zs, \"plum\", zdir=\"x\")\n",
    "\n",
    "xs = list(decay[split:])\n",
    "ys = list(score_1[split:])\n",
    "xs = xs[:1] + xs + xs[-1:]\n",
    "ys = [min_score] + ys + [min_score]\n",
    "zs = [100]\n",
    "add_plot(ax, xs, ys, zs, \"thistle\", zdir=\"x\")\n",
    "\n",
    "ax.set_title(\"decay and step overview\")\n",
    "ax.set_xlabel('step')\n",
    "ax.set_xlim3d(50, 300)\n",
    "ax.set_ylabel('decay')\n",
    "ax.set_ylim3d(0.9, 1)\n",
    "ax.set_zlabel('OPE score')\n",
    "ax.set_zlim3d(min_score, 0.66)\n",
    "\n",
    "ax.view_init(elev=50., azim=-50)\n",
    "\n",
    "ax.plot(([50]*decay.size), decay, score_1)\n",
    "ax.plot(step, [1.0]*step.size, score_2)\n",
    "\n",
    "fig.savefig(\"decay_step_overview.svg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "import json\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_fps(json_path):\n",
    "    data = json.load(open(json_path, \"r\"))\n",
    "    seq = pickle.load(open(\"../data/vot-otb.pkl\", \"rb\"))\n",
    "    fps = []\n",
    "    for seqname, _ in seq.items():\n",
    "        fps.append(data[seqname+\"time\"][-1])\n",
    "    return fps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "fps_DaSiamRPN = get_fps(\"../results/DaSiamRPN.json\")\n",
    "fps_DaSiamRPNAT = get_fps(\"../results/DaSiamRPNAT.json\")\n",
    "fps_DaSiamRPNAT2 = get_fps(\"../results/DaSiamRPNAT2.json\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(fps_DaSiamRPN, label=\"DaSiamRPN\")\n",
    "plt.plot(fps_DaSiamRPNAT, label=\"DaSiamRPNAT\")\n",
    "plt.plot(fps_DaSiamRPNAT2, label=\"DaSiamRPNAT2\")\n",
    "plt.ylim(0, 125)\n",
    "plt.xlabel(\"sequence\")\n",
    "plt.ylabel(\"fps\")\n",
    "plt.legend()\n",
    "plt.savefig(\"fps.svg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "demo_x = np.linspace(0, np.pi, 50)\n",
    "demo_y = np.sin(demo_x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mask_y = np.array([0]*10 + [2]*30 + [0]*10)\n",
    "dot_y = demo_y*mask_y\n",
    "train_y = (dot_y+demo_y)/2\n",
    "plt.plot(demo_x, demo_y, label=\"origin\")\n",
    "plt.plot(demo_x, mask_y, label=\"mask\")\n",
    "plt.plot(demo_x, dot_y, label=\"product\")\n",
    "plt.plot(demo_x, train_y, \"--\", label=\"trained\", )\n",
    "plt.xlabel(\"position\")\n",
    "plt.ylabel(\"response\")\n",
    "plt.legend()\n",
    "plt.savefig(\"mask.svg\")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
